x^2-27x+89=-9x+8

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Solution for x^2-27x+89=-9x+8 equation: 


Simplifying
x2 + -27x + 89 = -9x + 8

Reorder the terms:
89 + -27x + x2 = -9x + 8

Reorder the terms:
89 + -27x + x2 = 8 + -9x

Solving
89 + -27x + x2 = 8 + -9x

Solving for variable 'x'.

Reorder the terms:
89 + -8 + -27x + 9x + x2 = 8 + -9x + -8 + 9x

Combine like terms: 89 + -8 = 81
81 + -27x + 9x + x2 = 8 + -9x + -8 + 9x

Combine like terms: -27x + 9x = -18x
81 + -18x + x2 = 8 + -9x + -8 + 9x

Reorder the terms:
81 + -18x + x2 = 8 + -8 + -9x + 9x

Combine like terms: 8 + -8 = 0
81 + -18x + x2 = 0 + -9x + 9x
81 + -18x + x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
81 + -18x + x2 = 0

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


Subproblem 1
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

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 = {9, 9}

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