2y(y+3)(y-9)=0

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Solution for 2y(y+3)(y-9)=0 equation: 


Simplifying
2y(y + 3)(y + -9) = 0

Reorder the terms:
2y(3 + y)(y + -9) = 0

Reorder the terms:
2y(3 + y)(-9 + y) = 0

Multiply (3 + y) * (-9 + y)
2y(3(-9 + y) + y(-9 + y)) = 0
2y((-9 * 3 + y * 3) + y(-9 + y)) = 0
2y((-27 + 3y) + y(-9 + y)) = 0
2y(-27 + 3y + (-9 * y + y * y)) = 0
2y(-27 + 3y + (-9y + y2)) = 0

Combine like terms: 3y + -9y = -6y
2y(-27 + -6y + y2) = 0
(-27 * 2y + -6y * 2y + y2 * 2y) = 0
(-54y + -12y2 + 2y3) = 0

Solving
-54y + -12y2 + 2y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-27 + -6y + y2) = 0

Factor a trinomial.
2y((-3 + -1y)(9 + -1y)) = 0

Ignore the factor 2.

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 '(-3 + -1y)' equal to zero and attempt to solve:

Simplifying
-3 + -1y = 0

Solving
-3 + -1y = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1y = 0 + 3
-1y = 0 + 3

Combine like terms: 0 + 3 = 3
-1y = 3

Divide each side by '-1'.
y = -3

Simplifying
y = -3

Subproblem 3
Set the factor '(9 + -1y)' equal to zero and attempt to solve:

Simplifying
9 + -1y = 0

Solving
9 + -1y = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1y = 0 + -9
-1y = 0 + -9

Combine like terms: 0 + -9 = -9
-1y = -9

Divide each side by '-1'.
y = 9

Simplifying
y = 9
Solution
y = {0, -3, 9}

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