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

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


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

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

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

Multiply (9 + 5y) * (-7 + y)
Y(9(-7 + y) + 5y * (-7 + y)) = 0
Y((-7 * 9 + y * 9) + 5y * (-7 + y)) = 0
Y((-63 + 9y) + 5y * (-7 + y)) = 0
Y(-63 + 9y + (-7 * 5y + y * 5y)) = 0
Y(-63 + 9y + (-35y + 5y2)) = 0

Combine like terms: 9y + -35y = -26y
Y(-63 + -26y + 5y2) = 0
(-63 * Y + -26y * Y + 5y2 * Y) = 0
(-63Y + -26yY + 5y2Y) = 0

Solving
-63Y + -26yY + 5y2Y = 0

Solving for variable 'Y'.

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

Factor out the Greatest Common Factor (GCF), 'Y'.
Y(-63 + -26y + 5y2) = 0

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

Simplifying
-9 + -5y = 0

Solving
-9 + -5y = 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 + -5y = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -5y = 0 + 9
-5y = 0 + 9

Combine like terms: 0 + 9 = 9
-5y = 9

Add '5y' to each side of the equation.
-5y + 5y = 9 + 5y

Combine like terms: -5y + 5y = 0
0 = 9 + 5y

Simplifying
0 = 9 + 5y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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

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

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

Simplifying
0 = -7 + y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
Y = {0}

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