-X^2-12X-20=0

Solution for -X^2-12X-20=0 equation:

Simplifying
-1X2 + -12X + -20 = 0

Reorder the terms:
-20 + -12X + -1X2 = 0

Solving
-20 + -12X + -1X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(20 + 12X + X2) = 0

Factor a trinomial.
-1((10 + X)(2 + X)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(10 + X)' equal to zero and attempt to solve:

Simplifying
10 + X = 0

Solving
10 + X = 0

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

Add '-10' to each side of the equation.
10 + -10 + X = 0 + -10

Combine like terms: 10 + -10 = 0
0 + X = 0 + -10
X = 0 + -10

Combine like terms: 0 + -10 = -10
X = -10

Simplifying
X = -10
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 = {-10, -2}