x^2-8x+16=2x+16

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Solution for x^2-8x+16=2x+16 equation: 


Simplifying
x2 + -8x + 16 = 2x + 16

Reorder the terms:
16 + -8x + x2 = 2x + 16

Reorder the terms:
16 + -8x + x2 = 16 + 2x

Add '-16' to each side of the equation.
16 + -8x + -16 + x2 = 16 + -16 + 2x

Reorder the terms:
16 + -16 + -8x + x2 = 16 + -16 + 2x

Combine like terms: 16 + -16 = 0
0 + -8x + x2 = 16 + -16 + 2x
-8x + x2 = 16 + -16 + 2x

Combine like terms: 16 + -16 = 0
-8x + x2 = 0 + 2x
-8x + x2 = 2x

Solving
-8x + x2 = 2x

Solving for variable 'x'.

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

Combine like terms: -8x + -2x = -10x
-10x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-10x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-10 + x) = 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 '(-10 + x)' equal to zero and attempt to solve:

Simplifying
-10 + x = 0

Solving
-10 + x = 0

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

Add '10' to each side of the equation.
-10 + 10 + x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + x = 0 + 10
x = 0 + 10

Combine like terms: 0 + 10 = 10
x = 10

Simplifying
x = 10
Solution
x = {0, 10}

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