8y+8=y^2+6y

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Solution for 8y+8=y^2+6y equation:


Simplifying
8y + 8 = y2 + 6y

Reorder the terms:
8 + 8y = y2 + 6y

Reorder the terms:
8 + 8y = 6y + y2

Solving
8 + 8y = 6y + y2

Solving for variable 'y'.

Combine like terms: 8y + -6y = 2y
8 + 2y + -1y2 = 6y + y2 + -6y + -1y2

Reorder the terms:
8 + 2y + -1y2 = 6y + -6y + y2 + -1y2

Combine like terms: 6y + -6y = 0
8 + 2y + -1y2 = 0 + y2 + -1y2
8 + 2y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
8 + 2y + -1y2 = 0

Factor a trinomial.
(4 + -1y)(2 + y) = 0

Subproblem 1

Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4

Subproblem 2

Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2

Solution

y = {4, -2}

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