5a^2+6a-144=0

Solution for 5a^2+6a-144=0 equation:

Simplifying
5a2 + 6a + -144 = 0

Reorder the terms:
-144 + 6a + 5a2 = 0

Solving
-144 + 6a + 5a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-6 + -1a)(24 + -5a) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(24 + -5a)' equal to zero and attempt to solve:

Simplifying
24 + -5a = 0

Solving
24 + -5a = 0

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

Add '-24' to each side of the equation.
24 + -24 + -5a = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -5a = 0 + -24
-5a = 0 + -24

Combine like terms: 0 + -24 = -24
-5a = -24

Divide each side by '-5'.
a = 4.8

Simplifying
a = 4.8
Solution
a = {-6, 4.8}