Y^2+15y+24=(Y+5)(y+3)

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Solution for Y^2+15y+24=(Y+5)(y+3) equation: 


Simplifying
Y2 + 15y + 24 = (Y + 5)(y + 3)

Reorder the terms:
24 + Y2 + 15y = (Y + 5)(y + 3)

Reorder the terms:
24 + Y2 + 15y = (5 + Y)(y + 3)

Reorder the terms:
24 + Y2 + 15y = (5 + Y)(3 + y)

Multiply (5 + Y) * (3 + y)
24 + Y2 + 15y = (5(3 + y) + Y(3 + y))
24 + Y2 + 15y = ((3 * 5 + y * 5) + Y(3 + y))
24 + Y2 + 15y = ((15 + 5y) + Y(3 + y))
24 + Y2 + 15y = (15 + 5y + (3 * Y + y * Y))
24 + Y2 + 15y = (15 + 5y + (3Y + yY))

Reorder the terms:
24 + Y2 + 15y = (15 + 3Y + 5y + yY)
24 + Y2 + 15y = (15 + 3Y + 5y + yY)

Solving
24 + Y2 + 15y = 15 + 3Y + 5y + yY

Solving for variable 'Y'.

Reorder the terms:
24 + -15 + -3Y + Y2 + 15y + -5y + -1yY = 15 + 3Y + 5y + yY + -15 + -3Y + -5y + -1yY

Combine like terms: 24 + -15 = 9
9 + -3Y + Y2 + 15y + -5y + -1yY = 15 + 3Y + 5y + yY + -15 + -3Y + -5y + -1yY

Combine like terms: 15y + -5y = 10y
9 + -3Y + Y2 + 10y + -1yY = 15 + 3Y + 5y + yY + -15 + -3Y + -5y + -1yY

Reorder the terms:
9 + -3Y + Y2 + 10y + -1yY = 15 + -15 + 3Y + -3Y + 5y + -5y + yY + -1yY

Combine like terms: 15 + -15 = 0
9 + -3Y + Y2 + 10y + -1yY = 0 + 3Y + -3Y + 5y + -5y + yY + -1yY
9 + -3Y + Y2 + 10y + -1yY = 3Y + -3Y + 5y + -5y + yY + -1yY

Combine like terms: 3Y + -3Y = 0
9 + -3Y + Y2 + 10y + -1yY = 0 + 5y + -5y + yY + -1yY
9 + -3Y + Y2 + 10y + -1yY = 5y + -5y + yY + -1yY

Combine like terms: 5y + -5y = 0
9 + -3Y + Y2 + 10y + -1yY = 0 + yY + -1yY
9 + -3Y + Y2 + 10y + -1yY = yY + -1yY

Combine like terms: yY + -1yY = 0
9 + -3Y + Y2 + 10y + -1yY = 0

The solution to this equation could not be determined.

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