2a^2-20a-88=-10

Solution for 2a^2-20a-88=-10 equation:

Simplifying
2a2 + -20a + -88 = -10

Reorder the terms:
-88 + -20a + 2a2 = -10

Solving
-88 + -20a + 2a2 = -10

Solving for variable 'a'.

Reorder the terms:
-88 + 10 + -20a + 2a2 = -10 + 10

Combine like terms: -88 + 10 = -78
-78 + -20a + 2a2 = -10 + 10

Combine like terms: -10 + 10 = 0
-78 + -20a + 2a2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-39 + -10a + a2) = 0

Factor a trinomial.
2((-3 + -1a)(13 + -1a)) = 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 '(13 + -1a)' equal to zero and attempt to solve:

Simplifying
13 + -1a = 0

Solving
13 + -1a = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1a = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1a = 0 + -13
-1a = 0 + -13

Combine like terms: 0 + -13 = -13
-1a = -13

Divide each side by '-1'.
a = 13

Simplifying
a = 13
Solution
a = {-3, 13}