(2y-5)(6-3y)=

Solution for (2y-5)(6-3y)= equation:

Simplifying
(2y + -5)(6 + -3y) = 0

Reorder the terms:
(-5 + 2y)(6 + -3y) = 0

Multiply (-5 + 2y) * (6 + -3y)
(-5(6 + -3y) + 2y * (6 + -3y)) = 0
((6 * -5 + -3y * -5) + 2y * (6 + -3y)) = 0
((-30 + 15y) + 2y * (6 + -3y)) = 0
(-30 + 15y + (6 * 2y + -3y * 2y)) = 0
(-30 + 15y + (12y + -6y2)) = 0

Combine like terms: 15y + 12y = 27y
(-30 + 27y + -6y2) = 0

Solving
-30 + 27y + -6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-10 + 9y + -2y2) = 0

Factor a trinomial.
3((-5 + 2y)(2 + -1y)) = 0

Ignore the factor 3.
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 '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {2.5, 2}