(Y+2)(3y+5)(7y-7)=0

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Solution for (Y+2)(3y+5)(7y-7)=0 equation: 


Simplifying
(Y + 2)(3y + 5)(7y + -7) = 0

Reorder the terms:
(2 + Y)(3y + 5)(7y + -7) = 0

Reorder the terms:
(2 + Y)(5 + 3y)(7y + -7) = 0

Reorder the terms:
(2 + Y)(5 + 3y)(-7 + 7y) = 0

Multiply (2 + Y) * (5 + 3y)
(2(5 + 3y) + Y(5 + 3y))(-7 + 7y) = 0
((5 * 2 + 3y * 2) + Y(5 + 3y))(-7 + 7y) = 0
((10 + 6y) + Y(5 + 3y))(-7 + 7y) = 0
(10 + 6y + (5 * Y + 3y * Y))(-7 + 7y) = 0
(10 + 6y + (5Y + 3yY))(-7 + 7y) = 0

Reorder the terms:
(10 + 5Y + 6y + 3yY)(-7 + 7y) = 0
(10 + 5Y + 6y + 3yY)(-7 + 7y) = 0

Multiply (10 + 5Y + 6y + 3yY) * (-7 + 7y)
(10(-7 + 7y) + 5Y * (-7 + 7y) + 6y * (-7 + 7y) + 3yY * (-7 + 7y)) = 0
((-7 * 10 + 7y * 10) + 5Y * (-7 + 7y) + 6y * (-7 + 7y) + 3yY * (-7 + 7y)) = 0
((-70 + 70y) + 5Y * (-7 + 7y) + 6y * (-7 + 7y) + 3yY * (-7 + 7y)) = 0
(-70 + 70y + (-7 * 5Y + 7y * 5Y) + 6y * (-7 + 7y) + 3yY * (-7 + 7y)) = 0
(-70 + 70y + (-35Y + 35yY) + 6y * (-7 + 7y) + 3yY * (-7 + 7y)) = 0
(-70 + 70y + -35Y + 35yY + (-7 * 6y + 7y * 6y) + 3yY * (-7 + 7y)) = 0
(-70 + 70y + -35Y + 35yY + (-42y + 42y2) + 3yY * (-7 + 7y)) = 0
(-70 + 70y + -35Y + 35yY + -42y + 42y2 + (-7 * 3yY + 7y * 3yY)) = 0
(-70 + 70y + -35Y + 35yY + -42y + 42y2 + (-21yY + 21y2Y)) = 0

Reorder the terms:
(-70 + -35Y + 70y + -42y + 35yY + -21yY + 42y2 + 21y2Y) = 0

Combine like terms: 70y + -42y = 28y
(-70 + -35Y + 28y + 35yY + -21yY + 42y2 + 21y2Y) = 0

Combine like terms: 35yY + -21yY = 14yY
(-70 + -35Y + 28y + 14yY + 42y2 + 21y2Y) = 0

Solving
-70 + -35Y + 28y + 14yY + 42y2 + 21y2Y = 0

Solving for variable 'Y'.

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

Add '70' to each side of the equation.
-70 + -35Y + 28y + 14yY + 42y2 + 70 + 21y2Y = 0 + 70

Reorder the terms:
-70 + 70 + -35Y + 28y + 14yY + 42y2 + 21y2Y = 0 + 70

Combine like terms: -70 + 70 = 0
0 + -35Y + 28y + 14yY + 42y2 + 21y2Y = 0 + 70
-35Y + 28y + 14yY + 42y2 + 21y2Y = 0 + 70

Combine like terms: 0 + 70 = 70
-35Y + 28y + 14yY + 42y2 + 21y2Y = 70

Add '-28y' to each side of the equation.
-35Y + 28y + 14yY + 42y2 + -28y + 21y2Y = 70 + -28y

Reorder the terms:
-35Y + 28y + -28y + 14yY + 42y2 + 21y2Y = 70 + -28y

Combine like terms: 28y + -28y = 0
-35Y + 0 + 14yY + 42y2 + 21y2Y = 70 + -28y
-35Y + 14yY + 42y2 + 21y2Y = 70 + -28y

Add '-42y2' to each side of the equation.
-35Y + 14yY + 42y2 + -42y2 + 21y2Y = 70 + -28y + -42y2

Combine like terms: 42y2 + -42y2 = 0
-35Y + 14yY + 0 + 21y2Y = 70 + -28y + -42y2
-35Y + 14yY + 21y2Y = 70 + -28y + -42y2

Reorder the terms:
-70 + -35Y + 28y + 14yY + 42y2 + 21y2Y = 70 + -28y + -42y2 + -70 + 28y + 42y2

Reorder the terms:
-70 + -35Y + 28y + 14yY + 42y2 + 21y2Y = 70 + -70 + -28y + 28y + -42y2 + 42y2

Combine like terms: 70 + -70 = 0
-70 + -35Y + 28y + 14yY + 42y2 + 21y2Y = 0 + -28y + 28y + -42y2 + 42y2
-70 + -35Y + 28y + 14yY + 42y2 + 21y2Y = -28y + 28y + -42y2 + 42y2

Combine like terms: -28y + 28y = 0
-70 + -35Y + 28y + 14yY + 42y2 + 21y2Y = 0 + -42y2 + 42y2
-70 + -35Y + 28y + 14yY + 42y2 + 21y2Y = -42y2 + 42y2

Combine like terms: -42y2 + 42y2 = 0
-70 + -35Y + 28y + 14yY + 42y2 + 21y2Y = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-10 + -5Y + 4y + 2yY + 6y2 + 3y2Y) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(-10 + -5Y + 4y + 2yY + 6y2 + 3y2Y)' equal to zero and attempt to solve:

Simplifying
-10 + -5Y + 4y + 2yY + 6y2 + 3y2Y = 0

Solving
-10 + -5Y + 4y + 2yY + 6y2 + 3y2Y = 0

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

Add '10' to each side of the equation.
-10 + -5Y + 4y + 2yY + 6y2 + 10 + 3y2Y = 0 + 10

Reorder the terms:
-10 + 10 + -5Y + 4y + 2yY + 6y2 + 3y2Y = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -5Y + 4y + 2yY + 6y2 + 3y2Y = 0 + 10
-5Y + 4y + 2yY + 6y2 + 3y2Y = 0 + 10

Combine like terms: 0 + 10 = 10
-5Y + 4y + 2yY + 6y2 + 3y2Y = 10

Add '-4y' to each side of the equation.
-5Y + 4y + 2yY + 6y2 + -4y + 3y2Y = 10 + -4y

Reorder the terms:
-5Y + 4y + -4y + 2yY + 6y2 + 3y2Y = 10 + -4y

Combine like terms: 4y + -4y = 0
-5Y + 0 + 2yY + 6y2 + 3y2Y = 10 + -4y
-5Y + 2yY + 6y2 + 3y2Y = 10 + -4y

Add '-6y2' to each side of the equation.
-5Y + 2yY + 6y2 + -6y2 + 3y2Y = 10 + -4y + -6y2

Combine like terms: 6y2 + -6y2 = 0
-5Y + 2yY + 0 + 3y2Y = 10 + -4y + -6y2
-5Y + 2yY + 3y2Y = 10 + -4y + -6y2

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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