x(x-4)=2x-(16-2x)

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Solution for x(x-4)=2x-(16-2x) equation: 


Simplifying
x(x + -4) = 2x + -1(16 + -2x)

Reorder the terms:
x(-4 + x) = 2x + -1(16 + -2x)
(-4 * x + x * x) = 2x + -1(16 + -2x)
(-4x + x2) = 2x + -1(16 + -2x)
-4x + x2 = 2x + (16 * -1 + -2x * -1)
-4x + x2 = 2x + (-16 + 2x)

Reorder the terms:
-4x + x2 = -16 + 2x + 2x

Combine like terms: 2x + 2x = 4x
-4x + x2 = -16 + 4x

Solving
-4x + x2 = -16 + 4x

Solving for variable 'x'.

Reorder the terms:
16 + -4x + -4x + x2 = -16 + 4x + 16 + -4x

Combine like terms: -4x + -4x = -8x
16 + -8x + x2 = -16 + 4x + 16 + -4x

Reorder the terms:
16 + -8x + x2 = -16 + 16 + 4x + -4x

Combine like terms: -16 + 16 = 0
16 + -8x + x2 = 0 + 4x + -4x
16 + -8x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -8x + x2 = 0

Factor a trinomial.
(4 + -1x)(4 + -1x) = 0


Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {4, 4}

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