y(y-1)(y+8)=0

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Solution for y(y-1)(y+8)=0 equation: 


Simplifying
y(y + -1)(y + 8) = 0

Reorder the terms:
y(-1 + y)(y + 8) = 0

Reorder the terms:
y(-1 + y)(8 + y) = 0

Multiply (-1 + y) * (8 + y)
y(-1(8 + y) + y(8 + y)) = 0
y((8 * -1 + y * -1) + y(8 + y)) = 0
y((-8 + -1y) + y(8 + y)) = 0
y(-8 + -1y + (8 * y + y * y)) = 0
y(-8 + -1y + (8y + y2)) = 0

Combine like terms: -1y + 8y = 7y
y(-8 + 7y + y2) = 0
(-8 * y + 7y * y + y2 * y) = 0
(-8y + 7y2 + y3) = 0

Solving
-8y + 7y2 + y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-8 + 7y + y2) = 0

Factor a trinomial.
y((-8 + -1y)(1 + -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 '(-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 '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

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

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

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

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

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

Simplifying
y = 1
Solution
y = {0, -8, 1}

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