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

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


Simplifying
3(y + 4)(-1y + -5) = 0

Reorder the terms:
3(4 + y)(-1y + -5) = 0

Reorder the terms:
3(4 + y)(-5 + -1y) = 0

Multiply (4 + y) * (-5 + -1y)
3(4(-5 + -1y) + y(-5 + -1y)) = 0
3((-5 * 4 + -1y * 4) + y(-5 + -1y)) = 0
3((-20 + -4y) + y(-5 + -1y)) = 0
3(-20 + -4y + (-5 * y + -1y * y)) = 0
3(-20 + -4y + (-5y + -1y2)) = 0

Combine like terms: -4y + -5y = -9y
3(-20 + -9y + -1y2) = 0
(-20 * 3 + -9y * 3 + -1y2 * 3) = 0
(-60 + -27y + -3y2) = 0

Solving
-60 + -27y + -3y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-3'.
-3(20 + 9y + y2) = 0

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

Ignore the factor -3.

Subproblem 1
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

Subproblem 2
Set the factor '(4 + y)' equal to zero and attempt to solve:

Simplifying
4 + y = 0

Solving
4 + y = 0

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

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

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

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

Simplifying
y = -4
Solution
y = {-5, -4}

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