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

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Solution for -3(4y-5)(y+5)=0 equation: 


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

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

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

Multiply (-5 + 4y) * (5 + y)
-3(-5(5 + y) + 4y * (5 + y)) = 0
-3((5 * -5 + y * -5) + 4y * (5 + y)) = 0
-3((-25 + -5y) + 4y * (5 + y)) = 0
-3(-25 + -5y + (5 * 4y + y * 4y)) = 0
-3(-25 + -5y + (20y + 4y2)) = 0

Combine like terms: -5y + 20y = 15y
-3(-25 + 15y + 4y2) = 0
(-25 * -3 + 15y * -3 + 4y2 * -3) = 0
(75 + -45y + -12y2) = 0

Solving
75 + -45y + -12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(25 + -15y + -4y2) = 0

Factor a trinomial.
3((5 + -4y)(5 + y)) = 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 '(5 + y)' equal to zero and attempt to solve:

Simplifying
5 + y = 0

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

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

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

Simplifying
y = -5
Solution
y = {1.25, -5}

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