Math

QuestionSolve the equation 2(0.27x2)=0.48x1.92(0.27 x-2)=0.48 x-1.9 for xx.

Studdy Solution

STEP 1

Assumptions1. The equation given is (0.27x)=0.48x1.9(0.27 x-)=0.48 x-1.9 . We are to solve for xx

STEP 2

First, we need to distribute the2 on the left side of the equation.
2(0.27x2)=20.27x222(0.27 x-2) =2*0.27x -2*2

STEP 3

After distributing, the equation becomes0.54x=0.48x1.90.54x - =0.48x -1.9

STEP 4

Next, we will isolate the terms with xx on one side of the equation and the constants on the other side. We can do this by subtracting 0.48x0.48x from both sides of the equation and adding 44 to both sides.
0.54x0.48x=1.9+40.54x -0.48x =1.9 +4

STEP 5

After simplifying, the equation becomes0.06x=5.90.06x =5.9

STEP 6

Finally, we can solve for xx by dividing both sides of the equation by 0.060.06.
x=5.9/0.06x =5.9 /0.06

STEP 7

After dividing, we find thatx=98.33x =98.33So, the solution to the equation 2(0.27x2)=0.48x1.92(0.27 x-2)=0.48 x-1.9 is x=98.33x =98.33.

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