y(y^2-25)(10)-(y-5)(y^2-25)(2)=y(y-5)(13y+5)

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Solution for y(y^2-25)(10)-(y-5)(y^2-25)(2)=y(y-5)(13y+5) equation: 


Simplifying
y(y2 + -25)(10) + -1(y + -5)(y2 + -25)(2) = y(y + -5)(13y + 5)

Reorder the terms:
y(-25 + y2)(10) + -1(y + -5)(y2 + -25)(2) = y(y + -5)(13y + 5)

Reorder the terms for easier multiplication:
10y(-25 + y2) + -1(y + -5)(y2 + -25)(2) = y(y + -5)(13y + 5)
(-25 * 10y + y2 * 10y) + -1(y + -5)(y2 + -25)(2) = y(y + -5)(13y + 5)
(-250y + 10y3) + -1(y + -5)(y2 + -25)(2) = y(y + -5)(13y + 5)

Reorder the terms:
-250y + 10y3 + -1(-5 + y)(y2 + -25)(2) = y(y + -5)(13y + 5)

Reorder the terms:
-250y + 10y3 + -1(-5 + y)(-25 + y2)(2) = y(y + -5)(13y + 5)

Reorder the terms for easier multiplication:
-250y + 10y3 + -1 * 2(-5 + y)(-25 + y2) = y(y + -5)(13y + 5)

Multiply -1 * 2
-250y + 10y3 + -2(-5 + y)(-25 + y2) = y(y + -5)(13y + 5)

Multiply (-5 + y) * (-25 + y2)
-250y + 10y3 + -2(-5(-25 + y2) + y(-25 + y2)) = y(y + -5)(13y + 5)
-250y + 10y3 + -2((-25 * -5 + y2 * -5) + y(-25 + y2)) = y(y + -5)(13y + 5)
-250y + 10y3 + -2((125 + -5y2) + y(-25 + y2)) = y(y + -5)(13y + 5)
-250y + 10y3 + -2(125 + -5y2 + (-25 * y + y2 * y)) = y(y + -5)(13y + 5)
-250y + 10y3 + -2(125 + -5y2 + (-25y + y3)) = y(y + -5)(13y + 5)

Reorder the terms:
-250y + 10y3 + -2(125 + -25y + -5y2 + y3) = y(y + -5)(13y + 5)
-250y + 10y3 + -2(125 + -25y + -5y2 + y3) = y(y + -5)(13y + 5)
-250y + 10y3 + (125 * -2 + -25y * -2 + -5y2 * -2 + y3 * -2) = y(y + -5)(13y + 5)
-250y + 10y3 + (-250 + 50y + 10y2 + -2y3) = y(y + -5)(13y + 5)

Reorder the terms:
-250 + -250y + 50y + 10y2 + 10y3 + -2y3 = y(y + -5)(13y + 5)

Combine like terms: -250y + 50y = -200y
-250 + -200y + 10y2 + 10y3 + -2y3 = y(y + -5)(13y + 5)

Combine like terms: 10y3 + -2y3 = 8y3
-250 + -200y + 10y2 + 8y3 = y(y + -5)(13y + 5)

Reorder the terms:
-250 + -200y + 10y2 + 8y3 = y(-5 + y)(13y + 5)

Reorder the terms:
-250 + -200y + 10y2 + 8y3 = y(-5 + y)(5 + 13y)

Multiply (-5 + y) * (5 + 13y)
-250 + -200y + 10y2 + 8y3 = y(-5(5 + 13y) + y(5 + 13y))
-250 + -200y + 10y2 + 8y3 = y((5 * -5 + 13y * -5) + y(5 + 13y))
-250 + -200y + 10y2 + 8y3 = y((-25 + -65y) + y(5 + 13y))
-250 + -200y + 10y2 + 8y3 = y(-25 + -65y + (5 * y + 13y * y))
-250 + -200y + 10y2 + 8y3 = y(-25 + -65y + (5y + 13y2))

Combine like terms: -65y + 5y = -60y
-250 + -200y + 10y2 + 8y3 = y(-25 + -60y + 13y2)
-250 + -200y + 10y2 + 8y3 = (-25 * y + -60y * y + 13y2 * y)
-250 + -200y + 10y2 + 8y3 = (-25y + -60y2 + 13y3)

Solving
-250 + -200y + 10y2 + 8y3 = -25y + -60y2 + 13y3

Solving for variable 'y'.

Reorder the terms:
-250 + -200y + 25y + 10y2 + 60y2 + 8y3 + -13y3 = -25y + -60y2 + 13y3 + 25y + 60y2 + -13y3

Combine like terms: -200y + 25y = -175y
-250 + -175y + 10y2 + 60y2 + 8y3 + -13y3 = -25y + -60y2 + 13y3 + 25y + 60y2 + -13y3

Combine like terms: 10y2 + 60y2 = 70y2
-250 + -175y + 70y2 + 8y3 + -13y3 = -25y + -60y2 + 13y3 + 25y + 60y2 + -13y3

Combine like terms: 8y3 + -13y3 = -5y3
-250 + -175y + 70y2 + -5y3 = -25y + -60y2 + 13y3 + 25y + 60y2 + -13y3

Reorder the terms:
-250 + -175y + 70y2 + -5y3 = -25y + 25y + -60y2 + 60y2 + 13y3 + -13y3

Combine like terms: -25y + 25y = 0
-250 + -175y + 70y2 + -5y3 = 0 + -60y2 + 60y2 + 13y3 + -13y3
-250 + -175y + 70y2 + -5y3 = -60y2 + 60y2 + 13y3 + -13y3

Combine like terms: -60y2 + 60y2 = 0
-250 + -175y + 70y2 + -5y3 = 0 + 13y3 + -13y3
-250 + -175y + 70y2 + -5y3 = 13y3 + -13y3

Combine like terms: 13y3 + -13y3 = 0
-250 + -175y + 70y2 + -5y3 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-50 + -35y + 14y2 + -1y3) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-50 + -35y + 14y2 + -1y3)' equal to zero and attempt to solve:

Simplifying
-50 + -35y + 14y2 + -1y3 = 0

Solving
-50 + -35y + 14y2 + -1y3 = 0

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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