0=(-4y-5)(y-6)

Solution for 0=(-4y-5)(y-6) equation:

Simplifying
0 = (-4y + -5)(y + -6)

Reorder the terms:
0 = (-5 + -4y)(y + -6)

Reorder the terms:
0 = (-5 + -4y)(-6 + y)

Multiply (-5 + -4y) * (-6 + y)
0 = (-5(-6 + y) + -4y * (-6 + y))
0 = ((-6 * -5 + y * -5) + -4y * (-6 + y))
0 = ((30 + -5y) + -4y * (-6 + y))
0 = (30 + -5y + (-6 * -4y + y * -4y))
0 = (30 + -5y + (24y + -4y2))

Combine like terms: -5y + 24y = 19y
0 = (30 + 19y + -4y2)

Solving
0 = 30 + 19y + -4y2

Solving for variable 'y'.

Combine like terms: 0 + -30 = -30
-30 + -19y + 4y2 = 30 + 19y + -4y2 + -30 + -19y + 4y2

Reorder the terms:
-30 + -19y + 4y2 = 30 + -30 + 19y + -19y + -4y2 + 4y2

Combine like terms: 30 + -30 = 0
-30 + -19y + 4y2 = 0 + 19y + -19y + -4y2 + 4y2
-30 + -19y + 4y2 = 19y + -19y + -4y2 + 4y2

Combine like terms: 19y + -19y = 0
-30 + -19y + 4y2 = 0 + -4y2 + 4y2
-30 + -19y + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
-30 + -19y + 4y2 = 0

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

Subproblem 1
Set the factor '(-5 + -4y)' equal to zero and attempt to solve:

Simplifying
-5 + -4y = 0

Solving
-5 + -4y = 0

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

Add '5' to each side of the equation.
-5 + 5 + -4y = 0 + 5

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

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

Divide each side by '-4'.
y = -1.25

Simplifying
y = -1.25
Subproblem 2
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
Solution
y = {-1.25, 6}