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

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


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

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

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

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

Combine like terms: 12y + -5y = 7y
y(-15 + 7y + 4y2) = 0
(-15 * y + 7y * y + 4y2 * y) = 0
(-15y + 7y2 + 4y3) = 0

Solving
-15y + 7y2 + 4y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-15 + 7y + 4y2) = 0

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


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

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

Simplifying
-3 + -1y = 0

Solving
-3 + -1y = 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 + -1y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1y = 0 + 3
-1y = 0 + 3

Combine like terms: 0 + 3 = 3
-1y = 3

Divide each side by '-1'.
y = -3

Simplifying
y = -3

Subproblem 3
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
Solution
y = {0, -3, 1.25}

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