(4x-6)(3x+6)=

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Solution for (4x-6)(3x+6)= equation: 


Simplifying
(4x + -6)(3x + 6) = 0

Reorder the terms:
(-6 + 4x)(3x + 6) = 0

Reorder the terms:
(-6 + 4x)(6 + 3x) = 0

Multiply (-6 + 4x) * (6 + 3x)
(-6(6 + 3x) + 4x * (6 + 3x)) = 0
((6 * -6 + 3x * -6) + 4x * (6 + 3x)) = 0
((-36 + -18x) + 4x * (6 + 3x)) = 0
(-36 + -18x + (6 * 4x + 3x * 4x)) = 0
(-36 + -18x + (24x + 12x2)) = 0

Combine like terms: -18x + 24x = 6x
(-36 + 6x + 12x2) = 0

Solving
-36 + 6x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-6 + x + 2x2) = 0

Factor a trinomial.
6((-2 + -1x)(3 + -2x)) = 0

Ignore the factor 6.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
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
Solution
x = {-2, 1.5}

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