x=[160-2(x+x)]x-4x

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Solution for x=[160-2(x+x)]x-4x equation: 


Simplifying
x = [160 + -2(x + x)] * x + -4x

Combine like terms: x + x = 2x
x = [160 + -2(2x)] * x + -4x

Remove parenthesis around (2x)
x = [160 + -2 * 2x] * x + -4x

Multiply -2 * 2
x = [160 + -4x] * x + -4x

Reorder the terms for easier multiplication:
x = x[160 + -4x] + -4x
x = [160 * x + -4x * x] + -4x
x = [160x + -4x2] + -4x

Reorder the terms:
x = 160x + -4x + -4x2

Combine like terms: 160x + -4x = 156x
x = 156x + -4x2

Solving
x = 156x + -4x2

Solving for variable 'x'.

Combine like terms: x + -156x = -155x
-155x + 4x2 = 156x + -4x2 + -156x + 4x2

Reorder the terms:
-155x + 4x2 = 156x + -156x + -4x2 + 4x2

Combine like terms: 156x + -156x = 0
-155x + 4x2 = 0 + -4x2 + 4x2
-155x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-155x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-155 + 4x) = 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 '(-155 + 4x)' equal to zero and attempt to solve:

Simplifying
-155 + 4x = 0

Solving
-155 + 4x = 0

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

Add '155' to each side of the equation.
-155 + 155 + 4x = 0 + 155

Combine like terms: -155 + 155 = 0
0 + 4x = 0 + 155
4x = 0 + 155

Combine like terms: 0 + 155 = 155
4x = 155

Divide each side by '4'.
x = 38.75

Simplifying
x = 38.75
Solution
x = {0, 38.75}

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