(y-4)y^2-7(2-y)=(y+5)(y-2)

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Solution for (y-4)y^2-7(2-y)=(y+5)(y-2) equation: 


Simplifying
(y + -4) * y2 + -7(2 + -1y) = (y + 5)(y + -2)

Reorder the terms:
(-4 + y) * y2 + -7(2 + -1y) = (y + 5)(y + -2)

Reorder the terms for easier multiplication:
y2(-4 + y) + -7(2 + -1y) = (y + 5)(y + -2)
(-4 * y2 + y * y2) + -7(2 + -1y) = (y + 5)(y + -2)
(-4y2 + y3) + -7(2 + -1y) = (y + 5)(y + -2)
-4y2 + y3 + (2 * -7 + -1y * -7) = (y + 5)(y + -2)
-4y2 + y3 + (-14 + 7y) = (y + 5)(y + -2)

Reorder the terms:
-14 + 7y + -4y2 + y3 = (y + 5)(y + -2)

Reorder the terms:
-14 + 7y + -4y2 + y3 = (5 + y)(y + -2)

Reorder the terms:
-14 + 7y + -4y2 + y3 = (5 + y)(-2 + y)

Multiply (5 + y) * (-2 + y)
-14 + 7y + -4y2 + y3 = (5(-2 + y) + y(-2 + y))
-14 + 7y + -4y2 + y3 = ((-2 * 5 + y * 5) + y(-2 + y))
-14 + 7y + -4y2 + y3 = ((-10 + 5y) + y(-2 + y))
-14 + 7y + -4y2 + y3 = (-10 + 5y + (-2 * y + y * y))
-14 + 7y + -4y2 + y3 = (-10 + 5y + (-2y + y2))

Combine like terms: 5y + -2y = 3y
-14 + 7y + -4y2 + y3 = (-10 + 3y + y2)

Solving
-14 + 7y + -4y2 + y3 = -10 + 3y + y2

Solving for variable 'y'.

Reorder the terms:
-14 + 10 + 7y + -3y + -4y2 + -1y2 + y3 = -10 + 3y + y2 + 10 + -3y + -1y2

Combine like terms: -14 + 10 = -4
-4 + 7y + -3y + -4y2 + -1y2 + y3 = -10 + 3y + y2 + 10 + -3y + -1y2

Combine like terms: 7y + -3y = 4y
-4 + 4y + -4y2 + -1y2 + y3 = -10 + 3y + y2 + 10 + -3y + -1y2

Combine like terms: -4y2 + -1y2 = -5y2
-4 + 4y + -5y2 + y3 = -10 + 3y + y2 + 10 + -3y + -1y2

Reorder the terms:
-4 + 4y + -5y2 + y3 = -10 + 10 + 3y + -3y + y2 + -1y2

Combine like terms: -10 + 10 = 0
-4 + 4y + -5y2 + y3 = 0 + 3y + -3y + y2 + -1y2
-4 + 4y + -5y2 + y3 = 3y + -3y + y2 + -1y2

Combine like terms: 3y + -3y = 0
-4 + 4y + -5y2 + y3 = 0 + y2 + -1y2
-4 + 4y + -5y2 + y3 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-4 + 4y + -5y2 + y3 = 0

The solution to this equation could not be determined.

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