9x^2+18x-82=-10

Solution for 9x^2+18x-82=-10 equation:

Simplifying
9x2 + 18x + -82 = -10

Reorder the terms:
-82 + 18x + 9x2 = -10

Solving
-82 + 18x + 9x2 = -10

Solving for variable 'x'.

Reorder the terms:
-82 + 10 + 18x + 9x2 = -10 + 10

Combine like terms: -82 + 10 = -72
-72 + 18x + 9x2 = -10 + 10

Combine like terms: -10 + 10 = 0
-72 + 18x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(-8 + 2x + x2) = 0

Factor a trinomial.
9((-4 + -1x)(2 + -1x)) = 0

Ignore the factor 9.
Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-4, 2}