-3(-3+4x)(-2-2x)=0

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Solution for -3(-3+4x)(-2-2x)=0 equation: 


Simplifying
-3(-3 + 4x)(-2 + -2x) = 0

Multiply (-3 + 4x) * (-2 + -2x)
-3(-3(-2 + -2x) + 4x * (-2 + -2x)) = 0
-3((-2 * -3 + -2x * -3) + 4x * (-2 + -2x)) = 0
-3((6 + 6x) + 4x * (-2 + -2x)) = 0
-3(6 + 6x + (-2 * 4x + -2x * 4x)) = 0
-3(6 + 6x + (-8x + -8x2)) = 0

Combine like terms: 6x + -8x = -2x
-3(6 + -2x + -8x2) = 0
(6 * -3 + -2x * -3 + -8x2 * -3) = 0
(-18 + 6x + 24x2) = 0

Solving
-18 + 6x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-3 + x + 4x2) = 0

Factor a trinomial.
6((-1 + -1x)(3 + -4x)) = 0

Ignore the factor 6.

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 '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {-1, 0.75}

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