=5y^2-26y-24

Solution for =5y^2-26y-24 equation:

Simplifying
0 = 5y2 + -26y + -24

Reorder the terms:
0 = -24 + -26y + 5y2

Solving
0 = -24 + -26y + 5y2

Solving for variable 'y'.

Combine like terms: 0 + 24 = 24
24 + 26y + -5y2 = -24 + -26y + 5y2 + 24 + 26y + -5y2

Reorder the terms:
24 + 26y + -5y2 = -24 + 24 + -26y + 26y + 5y2 + -5y2

Combine like terms: -24 + 24 = 0
24 + 26y + -5y2 = 0 + -26y + 26y + 5y2 + -5y2
24 + 26y + -5y2 = -26y + 26y + 5y2 + -5y2

Combine like terms: -26y + 26y = 0
24 + 26y + -5y2 = 0 + 5y2 + -5y2
24 + 26y + -5y2 = 5y2 + -5y2

Combine like terms: 5y2 + -5y2 = 0
24 + 26y + -5y2 = 0

Factor a trinomial.
(6 + -1y)(4 + 5y) = 0

Subproblem 1
Set the factor '(6 + -1y)' equal to zero and attempt to solve:

Simplifying
6 + -1y = 0

Solving
6 + -1y = 0

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

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

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

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

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

Simplifying
y = 6
Subproblem 2
Set the factor '(4 + 5y)' equal to zero and attempt to solve:

Simplifying
4 + 5y = 0

Solving
4 + 5y = 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 + 5y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5y = 0 + -4
5y = 0 + -4

Combine like terms: 0 + -4 = -4
5y = -4

Divide each side by '5'.
y = -0.8

Simplifying
y = -0.8
Solution
y = {6, -0.8}