5y(y-8)(y+2)=0

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Solution for 5y(y-8)(y+2)=0 equation: 


Simplifying
5y(y + -8)(y + 2) = 0

Reorder the terms:
5y(-8 + y)(y + 2) = 0

Reorder the terms:
5y(-8 + y)(2 + y) = 0

Multiply (-8 + y) * (2 + y)
5y(-8(2 + y) + y(2 + y)) = 0
5y((2 * -8 + y * -8) + y(2 + y)) = 0
5y((-16 + -8y) + y(2 + y)) = 0
5y(-16 + -8y + (2 * y + y * y)) = 0
5y(-16 + -8y + (2y + y2)) = 0

Combine like terms: -8y + 2y = -6y
5y(-16 + -6y + y2) = 0
(-16 * 5y + -6y * 5y + y2 * 5y) = 0
(-80y + -30y2 + 5y3) = 0

Solving
-80y + -30y2 + 5y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5y'.
5y(-16 + -6y + y2) = 0

Factor a trinomial.
5y((-2 + -1y)(8 + -1y)) = 0

Ignore the factor 5.

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 '(-2 + -1y)' equal to zero and attempt to solve:

Simplifying
-2 + -1y = 0

Solving
-2 + -1y = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = 0 + 2
-1y = 0 + 2

Combine like terms: 0 + 2 = 2
-1y = 2

Divide each side by '-1'.
y = -2

Simplifying
y = -2

Subproblem 3
Set the factor '(8 + -1y)' equal to zero and attempt to solve:

Simplifying
8 + -1y = 0

Solving
8 + -1y = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = 0 + -8
-1y = 0 + -8

Combine like terms: 0 + -8 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8
Solution
y = {0, -2, 8}

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