x^2-8x+16=9x+16

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Solution for x^2-8x+16=9x+16 equation: 


Simplifying
x2 + -8x + 16 = 9x + 16

Reorder the terms:
16 + -8x + x2 = 9x + 16

Reorder the terms:
16 + -8x + x2 = 16 + 9x

Add '-16' to each side of the equation.
16 + -8x + -16 + x2 = 16 + -16 + 9x

Reorder the terms:
16 + -16 + -8x + x2 = 16 + -16 + 9x

Combine like terms: 16 + -16 = 0
0 + -8x + x2 = 16 + -16 + 9x
-8x + x2 = 16 + -16 + 9x

Combine like terms: 16 + -16 = 0
-8x + x2 = 0 + 9x
-8x + x2 = 9x

Solving
-8x + x2 = 9x

Solving for variable 'x'.

Reorder the terms:
-8x + -9x + x2 = 9x + -9x

Combine like terms: -8x + -9x = -17x
-17x + x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
-17x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-17 + 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 '(-17 + x)' equal to zero and attempt to solve:

Simplifying
-17 + x = 0

Solving
-17 + x = 0

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

Add '17' to each side of the equation.
-17 + 17 + x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + x = 0 + 17
x = 0 + 17

Combine like terms: 0 + 17 = 17
x = 17

Simplifying
x = 17
Solution
x = {0, 17}

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