x^2-20x+55=-5x-1

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Solution for x^2-20x+55=-5x-1 equation: 


Simplifying
x2 + -20x + 55 = -5x + -1

Reorder the terms:
55 + -20x + x2 = -5x + -1

Reorder the terms:
55 + -20x + x2 = -1 + -5x

Solving
55 + -20x + x2 = -1 + -5x

Solving for variable 'x'.

Reorder the terms:
55 + 1 + -20x + 5x + x2 = -1 + -5x + 1 + 5x

Combine like terms: 55 + 1 = 56
56 + -20x + 5x + x2 = -1 + -5x + 1 + 5x

Combine like terms: -20x + 5x = -15x
56 + -15x + x2 = -1 + -5x + 1 + 5x

Reorder the terms:
56 + -15x + x2 = -1 + 1 + -5x + 5x

Combine like terms: -1 + 1 = 0
56 + -15x + x2 = 0 + -5x + 5x
56 + -15x + x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
56 + -15x + x2 = 0

Factor a trinomial.
(7 + -1x)(8 + -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 '(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 = {7, 8}

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