(x-9)(x-9)=-14x+113

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Solution for (x-9)(x-9)=-14x+113 equation: 


Simplifying
(x + -9)(x + -9) = -14x + 113

Reorder the terms:
(-9 + x)(x + -9) = -14x + 113

Reorder the terms:
(-9 + x)(-9 + x) = -14x + 113

Multiply (-9 + x) * (-9 + x)
(-9(-9 + x) + x(-9 + x)) = -14x + 113
((-9 * -9 + x * -9) + x(-9 + x)) = -14x + 113
((81 + -9x) + x(-9 + x)) = -14x + 113
(81 + -9x + (-9 * x + x * x)) = -14x + 113
(81 + -9x + (-9x + x2)) = -14x + 113

Combine like terms: -9x + -9x = -18x
(81 + -18x + x2) = -14x + 113

Reorder the terms:
81 + -18x + x2 = 113 + -14x

Solving
81 + -18x + x2 = 113 + -14x

Solving for variable 'x'.

Reorder the terms:
81 + -113 + -18x + 14x + x2 = 113 + -14x + -113 + 14x

Combine like terms: 81 + -113 = -32
-32 + -18x + 14x + x2 = 113 + -14x + -113 + 14x

Combine like terms: -18x + 14x = -4x
-32 + -4x + x2 = 113 + -14x + -113 + 14x

Reorder the terms:
-32 + -4x + x2 = 113 + -113 + -14x + 14x

Combine like terms: 113 + -113 = 0
-32 + -4x + x2 = 0 + -14x + 14x
-32 + -4x + x2 = -14x + 14x

Combine like terms: -14x + 14x = 0
-32 + -4x + x2 = 0

Factor a trinomial.
(-4 + -1x)(8 + -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 '(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
Solution
x = {-4, 8}

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