x^2-17x+26=-5x-1

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Solution for x^2-17x+26=-5x-1 equation: 


Simplifying
x2 + -17x + 26 = -5x + -1

Reorder the terms:
26 + -17x + x2 = -5x + -1

Reorder the terms:
26 + -17x + x2 = -1 + -5x

Solving
26 + -17x + x2 = -1 + -5x

Solving for variable 'x'.

Reorder the terms:
26 + 1 + -17x + 5x + x2 = -1 + -5x + 1 + 5x

Combine like terms: 26 + 1 = 27
27 + -17x + 5x + x2 = -1 + -5x + 1 + 5x

Combine like terms: -17x + 5x = -12x
27 + -12x + x2 = -1 + -5x + 1 + 5x

Reorder the terms:
27 + -12x + x2 = -1 + 1 + -5x + 5x

Combine like terms: -1 + 1 = 0
27 + -12x + x2 = 0 + -5x + 5x
27 + -12x + x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
27 + -12x + x2 = 0

Factor a trinomial.
(3 + -1x)(9 + -1x) = 0


Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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 = {3, 9}

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