QuestionSolve the equation: $5(1+2 m)=\frac{1}{2}(8+20 m)$ .

Studdy Solution

STEP 1

Assumptions1. The equation to solve is $5(1+ m)=\frac{1}{}(8+20 m)$ . The variable to solve for is $m$

STEP 2

First, we need to distribute the $5$ on the left side of the equation and the $\frac{1}{2}$ on the right side of the equation.
$5(1+2 m) =5 +10m$ $\frac{1}{2}(8+20 m) =4 +10m$

STEP 3

Now, the equation is $5 +10m = +10m$

STEP 4

Next, we can subtract $10m$ from both sides of the equation to isolate $m$ .
$+10m -10m =4 +10m -10m$

STEP 5

This simplifies to $5 =4$

STEP 6

However, $5$ does not equal $4$ . This means that our original equation has no solution.

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QuestionSolve the equation: $5(1+2 m)=\frac{1}{2}(8+20 m)$ .

Studdy Solution

STEP 1

Assumptions1. The equation to solve is $5(1+ m)=\frac{1}{}(8+20 m)$ . The variable to solve for is $m$

STEP 2

First, we need to distribute the $5$ on the left side of the equation and the $\frac{1}{2}$ on the right side of the equation.
$5(1+2 m) =5 +10m$ $\frac{1}{2}(8+20 m) =4 +10m$

STEP 3

Now, the equation is $5 +10m = +10m$

STEP 4

Next, we can subtract $10m$ from both sides of the equation to isolate $m$ .
$+10m -10m =4 +10m -10m$

STEP 5

This simplifies to $5 =4$

STEP 6

However, $5$ does not equal $4$ . This means that our original equation has no solution.

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QuestionSolve the equation: 5(1+2m)=12(8+20m)5(1+2 m)=\frac{1}{2}(8+20 m)5(1+2m)=21​(8+20m).

Studdy Solution

STEP 1

Assumptions1. The equation to solve is 5(1+m)=1(8+20m)5(1+ m)=\frac{1}{}(8+20 m)5(1+m)=1​(8+20m). The variable to solve for is mmm

STEP 2

First, we need to distribute the 555 on the left side of the equation and the 12\frac{1}{2}21​ on the right side of the equation.5(1+2m)=5+10m5(1+2 m) =5 +10m5(1+2m)=5+10m12(8+20m)=4+10m\frac{1}{2}(8+20 m) =4 +10m21​(8+20m)=4+10m

STEP 3

Now, the equation is5+10m=+10m5 +10m = +10m5+10m=+10m

STEP 4

Next, we can subtract 10m10m10m from both sides of the equation to isolate mmm.+10m−10m=4+10m−10m +10m -10m =4 +10m -10m+10m−10m=4+10m−10m

STEP 5

This simplifies to5=45 =45=4

STEP 6

However, 555 does not equal 444. This means that our original equation has no solution.

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Studdy solves anything!

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QuestionSolve the equation: $5(1+2 m)=\frac{1}{2}(8+20 m)$ .

Assumptions1. The equation to solve is $5(1+ m)=\frac{1}{}(8+20 m)$ . The variable to solve for is $m$

First, we need to distribute the $5$ on the left side of the equation and the $\frac{1}{2}$ on the right side of the equation.
$5(1+2 m) =5 +10m$ $\frac{1}{2}(8+20 m) =4 +10m$

Now, the equation is $5 +10m = +10m$

Next, we can subtract $10m$ from both sides of the equation to isolate $m$ .
$+10m -10m =4 +10m -10m$

This simplifies to $5 =4$

However, $5$ does not equal $4$ . This means that our original equation has no solution.