2x*x=2(2x-20)*2x

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Solution for 2x*x=2(2x-20)*2x equation: 


Simplifying
2x * x = 2(2x + -20) * 2x

Multiply x * x
2x2 = 2(2x + -20) * 2x

Reorder the terms:
2x2 = 2(-20 + 2x) * 2x

Reorder the terms for easier multiplication:
2x2 = 2 * 2x(-20 + 2x)

Multiply 2 * 2
2x2 = 4x(-20 + 2x)
2x2 = (-20 * 4x + 2x * 4x)
2x2 = (-80x + 8x2)

Solving
2x2 = -80x + 8x2

Solving for variable 'x'.

Reorder the terms:
80x + 2x2 + -8x2 = -80x + 8x2 + 80x + -8x2

Combine like terms: 2x2 + -8x2 = -6x2
80x + -6x2 = -80x + 8x2 + 80x + -8x2

Reorder the terms:
80x + -6x2 = -80x + 80x + 8x2 + -8x2

Combine like terms: -80x + 80x = 0
80x + -6x2 = 0 + 8x2 + -8x2
80x + -6x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
80x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(40 + -3x) = 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 '(40 + -3x)' equal to zero and attempt to solve:

Simplifying
40 + -3x = 0

Solving
40 + -3x = 0

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

Add '-40' to each side of the equation.
40 + -40 + -3x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -3x = 0 + -40
-3x = 0 + -40

Combine like terms: 0 + -40 = -40
-3x = -40

Divide each side by '-3'.
x = 13.33333333

Simplifying
x = 13.33333333
Solution
x = {0, 13.33333333}

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