=(5-5y)(6y-5)

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

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

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

Multiply (5 + -5y) * (-5 + 6y)
0 = (5(-5 + 6y) + -5y * (-5 + 6y))
0 = ((-5 * 5 + 6y * 5) + -5y * (-5 + 6y))
0 = ((-25 + 30y) + -5y * (-5 + 6y))
0 = (-25 + 30y + (-5 * -5y + 6y * -5y))
0 = (-25 + 30y + (25y + -30y2))

Combine like terms: 30y + 25y = 55y
0 = (-25 + 55y + -30y2)

Solving
0 = -25 + 55y + -30y2

Solving for variable 'y'.

Combine like terms: 0 + 25 = 25
25 + -55y + 30y2 = -25 + 55y + -30y2 + 25 + -55y + 30y2

Reorder the terms:
25 + -55y + 30y2 = -25 + 25 + 55y + -55y + -30y2 + 30y2

Combine like terms: -25 + 25 = 0
25 + -55y + 30y2 = 0 + 55y + -55y + -30y2 + 30y2
25 + -55y + 30y2 = 55y + -55y + -30y2 + 30y2

Combine like terms: 55y + -55y = 0
25 + -55y + 30y2 = 0 + -30y2 + 30y2
25 + -55y + 30y2 = -30y2 + 30y2

Combine like terms: -30y2 + 30y2 = 0
25 + -55y + 30y2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(5 + -11y + 6y2) = 0

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

Ignore the factor 5.
Subproblem 1
Set the factor '(5 + -6y)' equal to zero and attempt to solve:

Simplifying
5 + -6y = 0

Solving
5 + -6y = 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 + -6y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6y = 0 + -5
-6y = 0 + -5

Combine like terms: 0 + -5 = -5
-6y = -5

Divide each side by '-6'.
y = 0.8333333333

Simplifying
y = 0.8333333333
Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

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

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

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

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

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

Simplifying
y = 1
Solution
y = {0.8333333333, 1}