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

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


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

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

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

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

Combine like terms: 2y + -8y = -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 + -1y2) = 0

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

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

Simplifying
2 + y = 0

Solving
2 + y = 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 + y = 0 + -2

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

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

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

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