(3x+3)(4x-8)=

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Solution for (3x+3)(4x-8)= equation: 


Simplifying
(3x + 3)(4x + -8) = 0

Reorder the terms:
(3 + 3x)(4x + -8) = 0

Reorder the terms:
(3 + 3x)(-8 + 4x) = 0

Multiply (3 + 3x) * (-8 + 4x)
(3(-8 + 4x) + 3x * (-8 + 4x)) = 0
((-8 * 3 + 4x * 3) + 3x * (-8 + 4x)) = 0
((-24 + 12x) + 3x * (-8 + 4x)) = 0
(-24 + 12x + (-8 * 3x + 4x * 3x)) = 0
(-24 + 12x + (-24x + 12x2)) = 0

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

Solving
-24 + -12x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(-2 + -1x + x2) = 0

Factor a trinomial.
12((-1 + -1x)(2 + -1x)) = 0

Ignore the factor 12.

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1

Subproblem 2
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
Solution
x = {-1, 2}

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