-4x(3x-2)=-32

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Solution for -4x(3x-2)=-32 equation: 


Simplifying
-4x(3x + -2) = -32

Reorder the terms:
-4x(-2 + 3x) = -32
(-2 * -4x + 3x * -4x) = -32
(8x + -12x2) = -32

Solving
8x + -12x2 = -32

Solving for variable 'x'.

Reorder the terms:
32 + 8x + -12x2 = -32 + 32

Combine like terms: -32 + 32 = 0
32 + 8x + -12x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(8 + 2x + -3x2) = 0

Factor a trinomial.
4((2 + -1x)(4 + 3x)) = 0

Ignore the factor 4.

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

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

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

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

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Solution
x = {2, -1.333333333}

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