y^2+y-8=3y

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Solution for y^2+y-8=3y equation:


Simplifying
y2 + y + -8 = 3y

Reorder the terms:
-8 + y + y2 = 3y

Solving
-8 + y + y2 = 3y

Solving for variable 'y'.

Reorder the terms:
-8 + y + -3y + y2 = 3y + -3y

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

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

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

Subproblem 1

Set the factor '(-2 + -1y)' equal to zero and attempt to solve: Simplifying -2 + -1y = 0 Solving -2 + -1y = 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 + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = 0 + 2 -1y = 0 + 2 Combine like terms: 0 + 2 = 2 -1y = 2 Divide each side by '-1'. y = -2 Simplifying y = -2

Subproblem 2

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

Solution

y = {-2, 4}

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