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

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

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

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

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

Multiply (-3 + 4y) * (5 + 5y)
(-3(5 + 5y) + 4y * (5 + 5y)) = 0
((5 * -3 + 5y * -3) + 4y * (5 + 5y)) = 0
((-15 + -15y) + 4y * (5 + 5y)) = 0
(-15 + -15y + (5 * 4y + 5y * 4y)) = 0
(-15 + -15y + (20y + 20y2)) = 0

Combine like terms: -15y + 20y = 5y
(-15 + 5y + 20y2) = 0

Solving
-15 + 5y + 20y2 = 0

Solving for variable 'y'.

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

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

Ignore the factor 5.
Subproblem 1
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
Subproblem 2
Set the factor '(3 + -4y)' equal to zero and attempt to solve:

Simplifying
3 + -4y = 0

Solving
3 + -4y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4y = 0 + -3
-4y = 0 + -3

Combine like terms: 0 + -3 = -3
-4y = -3

Divide each side by '-4'.
y = 0.75

Simplifying
y = 0.75
Solution
y = {-1, 0.75}