2x*2(x*2-3*x)(x+7)=

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


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

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

Combine like terms: 2x + -3x = -1x
2x * 2(-1x)(x + 7) = 0

Remove parenthesis around (-1x)
2x * 2 * -1x(x + 7) = 0

Reorder the terms:
2x * 2 * -1x(7 + x) = 0

Reorder the terms for easier multiplication:
2 * 2 * -1x * x(7 + x) = 0

Multiply 2 * 2
4 * -1x * x(7 + x) = 0

Multiply 4 * -1
-4x * x(7 + x) = 0

Multiply x * x
-4x2(7 + x) = 0
(7 * -4x2 + x * -4x2) = 0
(-28x2 + -4x3) = 0

Solving
-28x2 + -4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-4x2'.
-4x2(7 + x) = 0

Ignore the factor -4.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {0, -7}

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