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

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


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

Reorder the terms:
-4x(-6 + 6x) + 3x = 0
(-6 * -4x + 6x * -4x) + 3x = 0
(24x + -24x2) + 3x = 0

Reorder the terms:
24x + 3x + -24x2 = 0

Combine like terms: 24x + 3x = 27x
27x + -24x2 = 0

Solving
27x + -24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(9 + -8x) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(9 + -8x)' equal to zero and attempt to solve:

Simplifying
9 + -8x = 0

Solving
9 + -8x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -8x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -8x = 0 + -9
-8x = 0 + -9

Combine like terms: 0 + -9 = -9
-8x = -9

Divide each side by '-8'.
x = 1.125

Simplifying
x = 1.125
Solution
x = {0, 1.125}

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