4x(7-12x-4x)+5(9x-12x)=

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Solution for 4x(7-12x-4x)+5(9x-12x)= equation: 


Simplifying
4x(7 + -12x + -4x) + 5(9x + -12x) = 0

Combine like terms: -12x + -4x = -16x
4x(7 + -16x) + 5(9x + -12x) = 0
(7 * 4x + -16x * 4x) + 5(9x + -12x) = 0
(28x + -64x2) + 5(9x + -12x) = 0

Combine like terms: 9x + -12x = -3x
28x + -64x2 + 5(-3x) = 0

Remove parenthesis around (-3x)
28x + -64x2 + 5 * -3x = 0

Multiply 5 * -3
28x + -64x2 + -15x = 0

Reorder the terms:
28x + -15x + -64x2 = 0

Combine like terms: 28x + -15x = 13x
13x + -64x2 = 0

Solving
13x + -64x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(13 + -64x) = 0


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 '(13 + -64x)' equal to zero and attempt to solve:

Simplifying
13 + -64x = 0

Solving
13 + -64x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -64x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -64x = 0 + -13
-64x = 0 + -13

Combine like terms: 0 + -13 = -13
-64x = -13

Divide each side by '-64'.
x = 0.203125

Simplifying
x = 0.203125
Solution
x = {0, 0.203125}

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