-2a^2-36a+126=0

Solution for -2a^2-36a+126=0 equation:

Simplifying
-2a2 + -36a + 126 = 0

Reorder the terms:
126 + -36a + -2a2 = 0

Solving
126 + -36a + -2a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(63 + -18a + -1a2) = 0

Factor a trinomial.
2((3 + -1a)(21 + a)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -1a)' equal to zero and attempt to solve:

Simplifying
3 + -1a = 0

Solving
3 + -1a = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1a = 0 + -3
-1a = 0 + -3

Combine like terms: 0 + -3 = -3
-1a = -3

Divide each side by '-1'.
a = 3

Simplifying
a = 3
Subproblem 2
Set the factor '(21 + a)' equal to zero and attempt to solve:

Simplifying
21 + a = 0

Solving
21 + a = 0

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

Add '-21' to each side of the equation.
21 + -21 + a = 0 + -21

Combine like terms: 21 + -21 = 0
0 + a = 0 + -21
a = 0 + -21

Combine like terms: 0 + -21 = -21
a = -21

Simplifying
a = -21
Solution
a = {3, -21}