-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 = -10y
-5y(16 + -10y + y2) = 0
(16 * -5y + -10y * -5y + y2 * -5y) = 0
(-80y + 50y2 + -5y3) = 0

Solving
-80y + 50y2 + -5y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5y'.
5y(-16 + 10y + -1y2) = 0

Factor a trinomial.
5y((-8 + y)(2 + -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 '(-8 + y)' equal to zero and attempt to solve:

Simplifying
-8 + y = 0

Solving
-8 + y = 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 + y = 0 + 8

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

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

Simplifying
y = 8

Subproblem 3
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
Solution
y = {0, 8, 2}

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