x^2-4x-6=90

Solution for x^2-4x-6=90 equation:

Simplifying
x2 + -4x + -6 = 90

Reorder the terms:
-6 + -4x + x2 = 90

Solving
-6 + -4x + x2 = 90

Solving for variable 'x'.

Reorder the terms:
-6 + -90 + -4x + x2 = 90 + -90

Combine like terms: -6 + -90 = -96
-96 + -4x + x2 = 90 + -90

Combine like terms: 90 + -90 = 0
-96 + -4x + x2 = 0

Factor a trinomial.
(-8 + -1x)(12 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {-8, 12}