5y^2-2y-88=0

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

Simplifying
5y2 + -2y + -88 = 0

Reorder the terms:
-88 + -2y + 5y2 = 0

Solving
-88 + -2y + 5y2 = 0

Solving for variable 'y'.

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

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

Simplifying
-4 + -1y = 0

Solving
-4 + -1y = 0

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

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

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

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

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

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

Simplifying
22 + -5y = 0

Solving
22 + -5y = 0

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

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

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

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

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

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