3y(y+8)(y-1)=0

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Solution for 3y(y+8)(y-1)=0 equation: 


Simplifying
3y(y + 8)(y + -1) = 0

Reorder the terms:
3y(8 + y)(y + -1) = 0

Reorder the terms:
3y(8 + y)(-1 + y) = 0

Multiply (8 + y) * (-1 + y)
3y(8(-1 + y) + y(-1 + y)) = 0
3y((-1 * 8 + y * 8) + y(-1 + y)) = 0
3y((-8 + 8y) + y(-1 + y)) = 0
3y(-8 + 8y + (-1 * y + y * y)) = 0
3y(-8 + 8y + (-1y + y2)) = 0

Combine like terms: 8y + -1y = 7y
3y(-8 + 7y + y2) = 0
(-8 * 3y + 7y * 3y + y2 * 3y) = 0
(-24y + 21y2 + 3y3) = 0

Solving
-24y + 21y2 + 3y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(-8 + 7y + y2) = 0

Factor a trinomial.
3y((-8 + -1y)(1 + -1y)) = 0

Ignore the factor 3.

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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