y(y+7)(y-9)=0

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Solution for y(y+7)(y-9)=0 equation: 


Simplifying
y(y + 7)(y + -9) = 0

Reorder the terms:
y(7 + y)(y + -9) = 0

Reorder the terms:
y(7 + y)(-9 + y) = 0

Multiply (7 + y) * (-9 + y)
y(7(-9 + y) + y(-9 + y)) = 0
y((-9 * 7 + y * 7) + y(-9 + y)) = 0
y((-63 + 7y) + y(-9 + y)) = 0
y(-63 + 7y + (-9 * y + y * y)) = 0
y(-63 + 7y + (-9y + y2)) = 0

Combine like terms: 7y + -9y = -2y
y(-63 + -2y + y2) = 0
(-63 * y + -2y * y + y2 * y) = 0
(-63y + -2y2 + y3) = 0

Solving
-63y + -2y2 + y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-63 + -2y + y2) = 0

Factor a trinomial.
y((-7 + -1y)(9 + -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 '(-7 + -1y)' equal to zero and attempt to solve:

Simplifying
-7 + -1y = 0

Solving
-7 + -1y = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1y = 0 + 7
-1y = 0 + 7

Combine like terms: 0 + 7 = 7
-1y = 7

Divide each side by '-1'.
y = -7

Simplifying
y = -7

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, -7, 9}

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