-55+8x+x^2=10

Solution for -55+8x+x^2=10 equation:

Simplifying
-55 + 8x + x2 = 10

Solving
-55 + 8x + x2 = 10

Solving for variable 'x'.

Reorder the terms:
-55 + -10 + 8x + x2 = 10 + -10

Combine like terms: -55 + -10 = -65
-65 + 8x + x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-65 + 8x + x2 = 0

Factor a trinomial.
(-13 + -1x)(5 + -1x) = 0

Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-13, 5}