-5y(y-9)(y-7)=0

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Solution for -5y(y-9)(y-7)=0 equation: 


Simplifying
-5y(y + -9)(y + -7) = 0

Reorder the terms:
-5y(-9 + y)(y + -7) = 0

Reorder the terms:
-5y(-9 + y)(-7 + y) = 0

Multiply (-9 + y) * (-7 + y)
-5y(-9(-7 + y) + y(-7 + y)) = 0
-5y((-7 * -9 + y * -9) + y(-7 + y)) = 0
-5y((63 + -9y) + y(-7 + y)) = 0
-5y(63 + -9y + (-7 * y + y * y)) = 0
-5y(63 + -9y + (-7y + y2)) = 0

Combine like terms: -9y + -7y = -16y
-5y(63 + -16y + y2) = 0
(63 * -5y + -16y * -5y + y2 * -5y) = 0
(-315y + 80y2 + -5y3) = 0

Solving
-315y + 80y2 + -5y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5y'.
5y(-63 + 16y + -1y2) = 0

Factor a trinomial.
5y((-9 + y)(7 + -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 '(-9 + y)' equal to zero and attempt to solve:

Simplifying
-9 + y = 0

Solving
-9 + y = 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 + y = 0 + 9

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

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

Simplifying
y = 9

Subproblem 3
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
Solution
y = {0, 9, 7}

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