(2x+7)(2x-12)=

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Solution for (2x+7)(2x-12)= equation: 


Simplifying
(2x + 7)(2x + -12) = 0

Reorder the terms:
(7 + 2x)(2x + -12) = 0

Reorder the terms:
(7 + 2x)(-12 + 2x) = 0

Multiply (7 + 2x) * (-12 + 2x)
(7(-12 + 2x) + 2x * (-12 + 2x)) = 0
((-12 * 7 + 2x * 7) + 2x * (-12 + 2x)) = 0
((-84 + 14x) + 2x * (-12 + 2x)) = 0
(-84 + 14x + (-12 * 2x + 2x * 2x)) = 0
(-84 + 14x + (-24x + 4x2)) = 0

Combine like terms: 14x + -24x = -10x
(-84 + -10x + 4x2) = 0

Solving
-84 + -10x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-42 + -5x + 2x2) = 0

Factor a trinomial.
2((-7 + -2x)(6 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-3.5, 6}

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