Y(6y-1)(y+5)=0

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Solution for Y(6y-1)(y+5)=0 equation: 


Simplifying
Y(6y + -1)(y + 5) = 0

Reorder the terms:
Y(-1 + 6y)(y + 5) = 0

Reorder the terms:
Y(-1 + 6y)(5 + y) = 0

Multiply (-1 + 6y) * (5 + y)
Y(-1(5 + y) + 6y * (5 + y)) = 0
Y((5 * -1 + y * -1) + 6y * (5 + y)) = 0
Y((-5 + -1y) + 6y * (5 + y)) = 0
Y(-5 + -1y + (5 * 6y + y * 6y)) = 0
Y(-5 + -1y + (30y + 6y2)) = 0

Combine like terms: -1y + 30y = 29y
Y(-5 + 29y + 6y2) = 0
(-5 * Y + 29y * Y + 6y2 * Y) = 0
(-5Y + 29yY + 6y2Y) = 0

Solving
-5Y + 29yY + 6y2Y = 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(-5 + 29y + 6y2) = 0

Factor a trinomial.
Y((-5 + -1y)(1 + -6y)) = 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 '(-5 + -1y)' equal to zero and attempt to solve:

Simplifying
-5 + -1y = 0

Solving
-5 + -1y = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1y = 0 + 5
-1y = 0 + 5

Combine like terms: 0 + 5 = 5
-1y = 5

Add 'y' to each side of the equation.
-1y + y = 5 + y

Combine like terms: -1y + y = 0
0 = 5 + y

Simplifying
0 = 5 + y

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 '(1 + -6y)' equal to zero and attempt to solve:

Simplifying
1 + -6y = 0

Solving
1 + -6y = 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 + -6y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6y = 0 + -1
-6y = 0 + -1

Combine like terms: 0 + -1 = -1
-6y = -1

Add '6y' to each side of the equation.
-6y + 6y = -1 + 6y

Combine like terms: -6y + 6y = 0
0 = -1 + 6y

Simplifying
0 = -1 + 6y

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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