2x^2+18=x^2-11x

Solution for 2x^2+18=x^2-11x equation:

Simplifying
2x2 + 18 = x2 + -11x

Reorder the terms:
18 + 2x2 = x2 + -11x

Reorder the terms:
18 + 2x2 = -11x + x2

Solving
18 + 2x2 = -11x + x2

Solving for variable 'x'.

Reorder the terms:
18 + 11x + 2x2 + -1x2 = -11x + x2 + 11x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
18 + 11x + 1x2 = -11x + x2 + 11x + -1x2

Reorder the terms:
18 + 11x + 1x2 = -11x + 11x + x2 + -1x2

Combine like terms: -11x + 11x = 0
18 + 11x + 1x2 = 0 + x2 + -1x2
18 + 11x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
18 + 11x + 1x2 = 0

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

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

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {-9, -2}