3x(6x+4)-2x(x-6)=

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Solution for 3x(6x+4)-2x(x-6)= equation: 


Simplifying
3x(6x + 4) + -2x(x + -6) = 0

Reorder the terms:
3x(4 + 6x) + -2x(x + -6) = 0
(4 * 3x + 6x * 3x) + -2x(x + -6) = 0
(12x + 18x2) + -2x(x + -6) = 0

Reorder the terms:
12x + 18x2 + -2x(-6 + x) = 0
12x + 18x2 + (-6 * -2x + x * -2x) = 0
12x + 18x2 + (12x + -2x2) = 0

Reorder the terms:
12x + 12x + 18x2 + -2x2 = 0

Combine like terms: 12x + 12x = 24x
24x + 18x2 + -2x2 = 0

Combine like terms: 18x2 + -2x2 = 16x2
24x + 16x2 = 0

Solving
24x + 16x2 = 0

Solving for variable 'x'.

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

Ignore the factor 8.

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 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {0, -1.5}

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