y^2=9y-8

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Solution for y^2=9y-8 equation:


Simplifying
y2 = 9y + -8

Reorder the terms:
y2 = -8 + 9y

Solving
y2 = -8 + 9y

Solving for variable 'y'.

Reorder the terms:
8 + -9y + y2 = -8 + 9y + 8 + -9y

Reorder the terms:
8 + -9y + y2 = -8 + 8 + 9y + -9y

Combine like terms: -8 + 8 = 0
8 + -9y + y2 = 0 + 9y + -9y
8 + -9y + y2 = 9y + -9y

Combine like terms: 9y + -9y = 0
8 + -9y + y2 = 0

Factor a trinomial.
(1 + -1y)(8 + -1y) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(8 + -1y)' equal to zero and attempt to solve: Simplifying 8 + -1y = 0 Solving 8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 0 + -8 -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8

Solution

y = {1, 8}

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