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

Solution for (1-y)(5y-6)=0 equation:

Simplifying
(1 + -1y)(5y + -6) = 0

Reorder the terms:
(1 + -1y)(-6 + 5y) = 0

Multiply (1 + -1y) * (-6 + 5y)
(1(-6 + 5y) + -1y * (-6 + 5y)) = 0
((-6 * 1 + 5y * 1) + -1y * (-6 + 5y)) = 0
((-6 + 5y) + -1y * (-6 + 5y)) = 0
(-6 + 5y + (-6 * -1y + 5y * -1y)) = 0
(-6 + 5y + (6y + -5y2)) = 0

Combine like terms: 5y + 6y = 11y
(-6 + 11y + -5y2) = 0

Solving
-6 + 11y + -5y2 = 0

Solving for variable 'y'.

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

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

Simplifying
-6 + 5y = 0

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

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

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

Divide each side by '5'.
y = 1.2

Simplifying
y = 1.2
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 = {1.2, 1}