0=-2x^2-28x-90

Solution for 0=-2x^2-28x-90 equation:

Simplifying
0 = -2x2 + -28x + -90

Reorder the terms:
0 = -90 + -28x + -2x2

Solving
0 = -90 + -28x + -2x2

Solving for variable 'x'.

Combine like terms: 0 + 90 = 90
90 + 28x + 2x2 = -90 + -28x + -2x2 + 90 + 28x + 2x2

Reorder the terms:
90 + 28x + 2x2 = -90 + 90 + -28x + 28x + -2x2 + 2x2

Combine like terms: -90 + 90 = 0
90 + 28x + 2x2 = 0 + -28x + 28x + -2x2 + 2x2
90 + 28x + 2x2 = -28x + 28x + -2x2 + 2x2

Combine like terms: -28x + 28x = 0
90 + 28x + 2x2 = 0 + -2x2 + 2x2
90 + 28x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
90 + 28x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(45 + 14x + x2) = 0

Factor a trinomial.
2((9 + x)(5 + x)) = 0

Ignore the factor 2.
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 '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 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 + x = 0 + -5

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

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

Simplifying
x = -5
Solution
x = {-9, -5}