4x(7-3x-2x*2)+5(3x*2-12x)=

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Solution for 4x(7-3x-2x*2)+5(3x*2-12x)= equation: 


Simplifying
4x(7 + -3x + -2x * 2) + 5(3x * 2 + -12x) = 0

Reorder the terms for easier multiplication:
4x(7 + -3x + -2 * 2x) + 5(3x * 2 + -12x) = 0

Multiply -2 * 2
4x(7 + -3x + -4x) + 5(3x * 2 + -12x) = 0

Combine like terms: -3x + -4x = -7x
4x(7 + -7x) + 5(3x * 2 + -12x) = 0
(7 * 4x + -7x * 4x) + 5(3x * 2 + -12x) = 0
(28x + -28x2) + 5(3x * 2 + -12x) = 0

Reorder the terms for easier multiplication:
28x + -28x2 + 5(3 * 2x + -12x) = 0

Multiply 3 * 2
28x + -28x2 + 5(6x + -12x) = 0

Combine like terms: 6x + -12x = -6x
28x + -28x2 + 5(-6x) = 0

Remove parenthesis around (-6x)
28x + -28x2 + 5 * -6x = 0

Multiply 5 * -6
28x + -28x2 + -30x = 0

Reorder the terms:
28x + -30x + -28x2 = 0

Combine like terms: 28x + -30x = -2x
-2x + -28x2 = 0

Solving
-2x + -28x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(1 + 14x) = 0

Ignore the factor -2.

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 '(1 + 14x)' equal to zero and attempt to solve:

Simplifying
1 + 14x = 0

Solving
1 + 14x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 14x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 14x = 0 + -1
14x = 0 + -1

Combine like terms: 0 + -1 = -1
14x = -1

Divide each side by '14'.
x = -0.07142857143

Simplifying
x = -0.07142857143
Solution
x = {0, -0.07142857143}

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