Y^2+6y+8=(y+[1])(y+2)

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Solution for Y^2+6y+8=(y+[1])(y+2) equation: 


Simplifying
Y2 + 6y + 8 = (y + [1])(y + 2)

Reorder the terms:
8 + Y2 + 6y = (y + [1])(y + 2)
8 + Y2 + 6y = (y + 1)(y + 2)

Reorder the terms:
8 + Y2 + 6y = (1 + y)(y + 2)

Reorder the terms:
8 + Y2 + 6y = (1 + y)(2 + y)

Multiply (1 + y) * (2 + y)
8 + Y2 + 6y = (1(2 + y) + y(2 + y))
8 + Y2 + 6y = ((2 * 1 + y * 1) + y(2 + y))
8 + Y2 + 6y = ((2 + 1y) + y(2 + y))
8 + Y2 + 6y = (2 + 1y + (2 * y + y * y))
8 + Y2 + 6y = (2 + 1y + (2y + y2))

Combine like terms: 1y + 2y = 3y
8 + Y2 + 6y = (2 + 3y + y2)

Solving
8 + Y2 + 6y = 2 + 3y + y2

Solving for variable 'Y'.

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

Add '-8' to each side of the equation.
8 + Y2 + -8 + 6y = 2 + 3y + -8 + y2

Reorder the terms:
8 + -8 + Y2 + 6y = 2 + 3y + -8 + y2

Combine like terms: 8 + -8 = 0
0 + Y2 + 6y = 2 + 3y + -8 + y2
Y2 + 6y = 2 + 3y + -8 + y2

Reorder the terms:
Y2 + 6y = 2 + -8 + 3y + y2

Combine like terms: 2 + -8 = -6
Y2 + 6y = -6 + 3y + y2

Add '-6y' to each side of the equation.
Y2 + 6y + -6y = -6 + 3y + -6y + y2

Combine like terms: 6y + -6y = 0
Y2 + 0 = -6 + 3y + -6y + y2
Y2 = -6 + 3y + -6y + y2

Combine like terms: 3y + -6y = -3y
Y2 = -6 + -3y + y2

Simplifying
Y2 = -6 + -3y + y2

Reorder the terms:
6 + Y2 + 3y + -1y2 = -6 + -3y + y2 + 6 + 3y + -1y2

Reorder the terms:
6 + Y2 + 3y + -1y2 = -6 + 6 + -3y + 3y + y2 + -1y2

Combine like terms: -6 + 6 = 0
6 + Y2 + 3y + -1y2 = 0 + -3y + 3y + y2 + -1y2
6 + Y2 + 3y + -1y2 = -3y + 3y + y2 + -1y2

Combine like terms: -3y + 3y = 0
6 + Y2 + 3y + -1y2 = 0 + y2 + -1y2
6 + Y2 + 3y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
6 + Y2 + 3y + -1y2 = 0

The solution to this equation could not be determined.

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