(4y-5)(2y-5y+3)=

Solution for (4y-5)(2y-5y+3)= equation:

Simplifying
(4y + -5)(2y + -5y + 3) = 0

Reorder the terms:
(-5 + 4y)(2y + -5y + 3) = 0

Reorder the terms:
(-5 + 4y)(3 + 2y + -5y) = 0

Combine like terms: 2y + -5y = -3y
(-5 + 4y)(3 + -3y) = 0

Multiply (-5 + 4y) * (3 + -3y)
(-5(3 + -3y) + 4y * (3 + -3y)) = 0
((3 * -5 + -3y * -5) + 4y * (3 + -3y)) = 0
((-15 + 15y) + 4y * (3 + -3y)) = 0
(-15 + 15y + (3 * 4y + -3y * 4y)) = 0
(-15 + 15y + (12y + -12y2)) = 0

Combine like terms: 15y + 12y = 27y
(-15 + 27y + -12y2) = 0

Solving
-15 + 27y + -12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + 9y + -4y2) = 0

Factor a trinomial.
3((-5 + 4y)(1 + -1y)) = 0

Ignore the factor 3.
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 '(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 = {1.25, 1}