x^2-10x+25=17x+25

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Solution for x^2-10x+25=17x+25 equation: 


Simplifying
x2 + -10x + 25 = 17x + 25

Reorder the terms:
25 + -10x + x2 = 17x + 25

Reorder the terms:
25 + -10x + x2 = 25 + 17x

Add '-25' to each side of the equation.
25 + -10x + -25 + x2 = 25 + -25 + 17x

Reorder the terms:
25 + -25 + -10x + x2 = 25 + -25 + 17x

Combine like terms: 25 + -25 = 0
0 + -10x + x2 = 25 + -25 + 17x
-10x + x2 = 25 + -25 + 17x

Combine like terms: 25 + -25 = 0
-10x + x2 = 0 + 17x
-10x + x2 = 17x

Solving
-10x + x2 = 17x

Solving for variable 'x'.

Reorder the terms:
-10x + -17x + x2 = 17x + -17x

Combine like terms: -10x + -17x = -27x
-27x + x2 = 17x + -17x

Combine like terms: 17x + -17x = 0
-27x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-27 + 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 '(-27 + x)' equal to zero and attempt to solve:

Simplifying
-27 + x = 0

Solving
-27 + x = 0

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

Add '27' to each side of the equation.
-27 + 27 + x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + x = 0 + 27
x = 0 + 27

Combine like terms: 0 + 27 = 27
x = 27

Simplifying
x = 27
Solution
x = {0, 27}

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