x^2-11x+68=5x+5

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Solution for x^2-11x+68=5x+5 equation: 


Simplifying
x2 + -11x + 68 = 5x + 5

Reorder the terms:
68 + -11x + x2 = 5x + 5

Reorder the terms:
68 + -11x + x2 = 5 + 5x

Solving
68 + -11x + x2 = 5 + 5x

Solving for variable 'x'.

Reorder the terms:
68 + -5 + -11x + -5x + x2 = 5 + 5x + -5 + -5x

Combine like terms: 68 + -5 = 63
63 + -11x + -5x + x2 = 5 + 5x + -5 + -5x

Combine like terms: -11x + -5x = -16x
63 + -16x + x2 = 5 + 5x + -5 + -5x

Reorder the terms:
63 + -16x + x2 = 5 + -5 + 5x + -5x

Combine like terms: 5 + -5 = 0
63 + -16x + x2 = 0 + 5x + -5x
63 + -16x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
63 + -16x + x2 = 0

Factor a trinomial.
(7 + -1x)(9 + -1x) = 0


Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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 = {7, 9}

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