x^2-10x+25=-9x+97

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Solution for x^2-10x+25=-9x+97 equation: 


Simplifying
x2 + -10x + 25 = -9x + 97

Reorder the terms:
25 + -10x + x2 = -9x + 97

Reorder the terms:
25 + -10x + x2 = 97 + -9x

Solving
25 + -10x + x2 = 97 + -9x

Solving for variable 'x'.

Reorder the terms:
25 + -97 + -10x + 9x + x2 = 97 + -9x + -97 + 9x

Combine like terms: 25 + -97 = -72
-72 + -10x + 9x + x2 = 97 + -9x + -97 + 9x

Combine like terms: -10x + 9x = -1x
-72 + -1x + x2 = 97 + -9x + -97 + 9x

Reorder the terms:
-72 + -1x + x2 = 97 + -97 + -9x + 9x

Combine like terms: 97 + -97 = 0
-72 + -1x + x2 = 0 + -9x + 9x
-72 + -1x + x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-72 + -1x + x2 = 0

Factor a trinomial.
(-8 + -1x)(9 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-8, 9}

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