2a^2+8a-130=-10

Solution for 2a^2+8a-130=-10 equation:

Simplifying
2a2 + 8a + -130 = -10

Reorder the terms:
-130 + 8a + 2a2 = -10

Solving
-130 + 8a + 2a2 = -10

Solving for variable 'a'.

Reorder the terms:
-130 + 10 + 8a + 2a2 = -10 + 10

Combine like terms: -130 + 10 = -120
-120 + 8a + 2a2 = -10 + 10

Combine like terms: -10 + 10 = 0
-120 + 8a + 2a2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-60 + 4a + a2) = 0

Factor a trinomial.
2((-10 + -1a)(6 + -1a)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-10 + -1a)' equal to zero and attempt to solve:

Simplifying
-10 + -1a = 0

Solving
-10 + -1a = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1a = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1a = 0 + 10
-1a = 0 + 10

Combine like terms: 0 + 10 = 10
-1a = 10

Divide each side by '-1'.
a = -10

Simplifying
a = -10
Subproblem 2
Set the factor '(6 + -1a)' equal to zero and attempt to solve:

Simplifying
6 + -1a = 0

Solving
6 + -1a = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = 0 + -6
-1a = 0 + -6

Combine like terms: 0 + -6 = -6
-1a = -6

Divide each side by '-1'.
a = 6

Simplifying
a = 6
Solution
a = {-10, 6}