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

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


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

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

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

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

Combine like terms: -5y + 3y = -2y
y(-15 + -2y + y2) = 0
(-15 * y + -2y * y + y2 * y) = 0
(-15y + -2y2 + y3) = 0

Solving
-15y + -2y2 + y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-15 + -2y + y2) = 0

Factor a trinomial.
y((-3 + -1y)(5 + -1y)) = 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 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 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 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {0, -3, 5}

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