(2y-5)(1-y)=0

Solution for (2y-5)(1-y)=0 equation:

Simplifying
(2y + -5)(1 + -1y) = 0

Reorder the terms:
(-5 + 2y)(1 + -1y) = 0

Multiply (-5 + 2y) * (1 + -1y)
(-5(1 + -1y) + 2y * (1 + -1y)) = 0
((1 * -5 + -1y * -5) + 2y * (1 + -1y)) = 0
((-5 + 5y) + 2y * (1 + -1y)) = 0
(-5 + 5y + (1 * 2y + -1y * 2y)) = 0
(-5 + 5y + (2y + -2y2)) = 0

Combine like terms: 5y + 2y = 7y
(-5 + 7y + -2y2) = 0

Solving
-5 + 7y + -2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + 2y)(1 + -1y) = 0

Subproblem 1
Set the factor '(-5 + 2y)' equal to zero and attempt to solve:

Simplifying
-5 + 2y = 0

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

Combine like terms: -5 + 5 = 0
0 + 2y = 0 + 5
2y = 0 + 5

Combine like terms: 0 + 5 = 5
2y = 5

Divide each side by '2'.
y = 2.5

Simplifying
y = 2.5
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 = {2.5, 1}