x^2-18x-71=-8

Solution for x^2-18x-71=-8 equation:

Simplifying
x2 + -18x + -71 = -8

Reorder the terms:
-71 + -18x + x2 = -8

Solving
-71 + -18x + x2 = -8

Solving for variable 'x'.

Reorder the terms:
-71 + 8 + -18x + x2 = -8 + 8

Combine like terms: -71 + 8 = -63
-63 + -18x + x2 = -8 + 8

Combine like terms: -8 + 8 = 0
-63 + -18x + x2 = 0

Factor a trinomial.
(-3 + -1x)(21 + -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 '(21 + -1x)' equal to zero and attempt to solve:

Simplifying
21 + -1x = 0

Solving
21 + -1x = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 0 + -21
-1x = 0 + -21

Combine like terms: 0 + -21 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21
Solution
x = {-3, 21}