5a^2-2a-88=0

Solution for 5a^2-2a-88=0 equation:

Simplifying
5a2 + -2a + -88 = 0

Reorder the terms:
-88 + -2a + 5a2 = 0

Solving
-88 + -2a + 5a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-4 + -1a)(22 + -5a) = 0

Subproblem 1
Set the factor '(-4 + -1a)' equal to zero and attempt to solve:

Simplifying
-4 + -1a = 0

Solving
-4 + -1a = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1a = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1a = 0 + 4
-1a = 0 + 4

Combine like terms: 0 + 4 = 4
-1a = 4

Divide each side by '-1'.
a = -4

Simplifying
a = -4
Subproblem 2
Set the factor '(22 + -5a)' equal to zero and attempt to solve:

Simplifying
22 + -5a = 0

Solving
22 + -5a = 0

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

Add '-22' to each side of the equation.
22 + -22 + -5a = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -5a = 0 + -22
-5a = 0 + -22

Combine like terms: 0 + -22 = -22
-5a = -22

Divide each side by '-5'.
a = 4.4

Simplifying
a = 4.4
Solution
a = {-4, 4.4}