(2x+3)(2x-6)=

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Solution for (2x+3)(2x-6)= equation: 


Simplifying
(2x + 3)(2x + -6) = 0

Reorder the terms:
(3 + 2x)(2x + -6) = 0

Reorder the terms:
(3 + 2x)(-6 + 2x) = 0

Multiply (3 + 2x) * (-6 + 2x)
(3(-6 + 2x) + 2x * (-6 + 2x)) = 0
((-6 * 3 + 2x * 3) + 2x * (-6 + 2x)) = 0
((-18 + 6x) + 2x * (-6 + 2x)) = 0
(-18 + 6x + (-6 * 2x + 2x * 2x)) = 0
(-18 + 6x + (-12x + 4x2)) = 0

Combine like terms: 6x + -12x = -6x
(-18 + -6x + 4x2) = 0

Solving
-18 + -6x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + -3x + 2x2) = 0

Factor a trinomial.
2((-3 + -2x)(3 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying
-3 + -2x = 0

Solving
-3 + -2x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = 0 + 3
-2x = 0 + 3

Combine like terms: 0 + 3 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-1.5, 3}

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