2y^2+4y+30=(Y-3)(y-3)

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Solution for 2y^2+4y+30=(Y-3)(y-3) equation: 


Simplifying
2y2 + 4y + 30 = (Y + -3)(y + -3)

Reorder the terms:
30 + 4y + 2y2 = (Y + -3)(y + -3)

Reorder the terms:
30 + 4y + 2y2 = (-3 + Y)(y + -3)

Reorder the terms:
30 + 4y + 2y2 = (-3 + Y)(-3 + y)

Multiply (-3 + Y) * (-3 + y)
30 + 4y + 2y2 = (-3(-3 + y) + Y(-3 + y))
30 + 4y + 2y2 = ((-3 * -3 + y * -3) + Y(-3 + y))
30 + 4y + 2y2 = ((9 + -3y) + Y(-3 + y))
30 + 4y + 2y2 = (9 + -3y + (-3 * Y + y * Y))
30 + 4y + 2y2 = (9 + -3y + (-3Y + yY))

Reorder the terms:
30 + 4y + 2y2 = (9 + -3Y + -3y + yY)
30 + 4y + 2y2 = (9 + -3Y + -3y + yY)

Solving
30 + 4y + 2y2 = 9 + -3Y + -3y + yY

Solving for variable 'y'.

Reorder the terms:
30 + -9 + 3Y + 4y + 3y + -1yY + 2y2 = 9 + -3Y + -3y + yY + -9 + 3Y + 3y + -1yY

Combine like terms: 30 + -9 = 21
21 + 3Y + 4y + 3y + -1yY + 2y2 = 9 + -3Y + -3y + yY + -9 + 3Y + 3y + -1yY

Combine like terms: 4y + 3y = 7y
21 + 3Y + 7y + -1yY + 2y2 = 9 + -3Y + -3y + yY + -9 + 3Y + 3y + -1yY

Reorder the terms:
21 + 3Y + 7y + -1yY + 2y2 = 9 + -9 + -3Y + 3Y + -3y + 3y + yY + -1yY

Combine like terms: 9 + -9 = 0
21 + 3Y + 7y + -1yY + 2y2 = 0 + -3Y + 3Y + -3y + 3y + yY + -1yY
21 + 3Y + 7y + -1yY + 2y2 = -3Y + 3Y + -3y + 3y + yY + -1yY

Combine like terms: -3Y + 3Y = 0
21 + 3Y + 7y + -1yY + 2y2 = 0 + -3y + 3y + yY + -1yY
21 + 3Y + 7y + -1yY + 2y2 = -3y + 3y + yY + -1yY

Combine like terms: -3y + 3y = 0
21 + 3Y + 7y + -1yY + 2y2 = 0 + yY + -1yY
21 + 3Y + 7y + -1yY + 2y2 = yY + -1yY

Combine like terms: yY + -1yY = 0
21 + 3Y + 7y + -1yY + 2y2 = 0

The solution to this equation could not be determined.

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