-3a^2=-11a-130

Solution for -3a^2=-11a-130 equation:

Simplifying
-3a2 = -11a + -130

Reorder the terms:
-3a2 = -130 + -11a

Solving
-3a2 = -130 + -11a

Solving for variable 'a'.

Reorder the terms:
130 + 11a + -3a2 = -130 + -11a + 130 + 11a

Reorder the terms:
130 + 11a + -3a2 = -130 + 130 + -11a + 11a

Combine like terms: -130 + 130 = 0
130 + 11a + -3a2 = 0 + -11a + 11a
130 + 11a + -3a2 = -11a + 11a

Combine like terms: -11a + 11a = 0
130 + 11a + -3a2 = 0

Factor a trinomial.
(26 + -3a)(5 + a) = 0

Subproblem 1
Set the factor '(26 + -3a)' equal to zero and attempt to solve:

Simplifying
26 + -3a = 0

Solving
26 + -3a = 0

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

Add '-26' to each side of the equation.
26 + -26 + -3a = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -3a = 0 + -26
-3a = 0 + -26

Combine like terms: 0 + -26 = -26
-3a = -26

Divide each side by '-3'.
a = 8.666666667

Simplifying
a = 8.666666667
Subproblem 2
Set the factor '(5 + a)' equal to zero and attempt to solve:

Simplifying
5 + a = 0

Solving
5 + a = 0

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

Add '-5' to each side of the equation.
5 + -5 + a = 0 + -5

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

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

Simplifying
a = -5
Solution
a = {8.666666667, -5}