x^2-12x+49=6x-32

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Solution for x^2-12x+49=6x-32 equation: 


Simplifying
x2 + -12x + 49 = 6x + -32

Reorder the terms:
49 + -12x + x2 = 6x + -32

Reorder the terms:
49 + -12x + x2 = -32 + 6x

Solving
49 + -12x + x2 = -32 + 6x

Solving for variable 'x'.

Reorder the terms:
49 + 32 + -12x + -6x + x2 = -32 + 6x + 32 + -6x

Combine like terms: 49 + 32 = 81
81 + -12x + -6x + x2 = -32 + 6x + 32 + -6x

Combine like terms: -12x + -6x = -18x
81 + -18x + x2 = -32 + 6x + 32 + -6x

Reorder the terms:
81 + -18x + x2 = -32 + 32 + 6x + -6x

Combine like terms: -32 + 32 = 0
81 + -18x + x2 = 0 + 6x + -6x
81 + -18x + x2 = 6x + -6x

Combine like terms: 6x + -6x = 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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