Math  /  Algebra

QuestionIs 2 a solution of 4x+12=44 x+12=4 ? Complete the statement.
The equation is \square ? when x=2x=2, so 2 \square a solution.

Studdy Solution

STEP 1

1. We need to determine if x=2 x = 2 satisfies the equation 4x+12=4 4x + 12 = 4 .
2. This involves substituting x=2 x = 2 into the equation and checking if both sides are equal.

STEP 2

1. Substitute x=2 x = 2 into the equation.
2. Simplify the equation to see if both sides are equal.
3. Complete the statement based on the result.

STEP 3

Substitute x=2 x = 2 into the equation 4x+12=4 4x + 12 = 4 :
4(2)+12=4 4(2) + 12 = 4

STEP 4

Simplify the left-hand side of the equation:
8+12=4 8 + 12 = 4
20=4 20 = 4

STEP 5

Since 204 20 \neq 4 , the equation is not true when x=2 x = 2 .
Complete the statement:
The equation is false\text{false} when x=2 x = 2 , so 2 is not\text{is not} a solution.

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