-6x(2-8x)-4x(x-6)=

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Solution for -6x(2-8x)-4x(x-6)= equation: 


Simplifying
-6x(2 + -8x) + -4x(x + -6) = 0
(2 * -6x + -8x * -6x) + -4x(x + -6) = 0
(-12x + 48x2) + -4x(x + -6) = 0

Reorder the terms:
-12x + 48x2 + -4x(-6 + x) = 0
-12x + 48x2 + (-6 * -4x + x * -4x) = 0
-12x + 48x2 + (24x + -4x2) = 0

Reorder the terms:
-12x + 24x + 48x2 + -4x2 = 0

Combine like terms: -12x + 24x = 12x
12x + 48x2 + -4x2 = 0

Combine like terms: 48x2 + -4x2 = 44x2
12x + 44x2 = 0

Solving
12x + 44x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(3 + 11x) = 0

Ignore the factor 4.

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 '(3 + 11x)' equal to zero and attempt to solve:

Simplifying
3 + 11x = 0

Solving
3 + 11x = 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 + 11x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 11x = 0 + -3
11x = 0 + -3

Combine like terms: 0 + -3 = -3
11x = -3

Divide each side by '11'.
x = -0.2727272727

Simplifying
x = -0.2727272727
Solution
x = {0, -0.2727272727}

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