8y^2-24y-80=0

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Solution for 8y^2-24y-80=0 equation:


Simplifying
8y2 + -24y + -80 = 0

Reorder the terms:
-80 + -24y + 8y2 = 0

Solving
-80 + -24y + 8y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-10 + -3y + y2) = 0

Factor a trinomial.
8((-2 + -1y)(5 + -1y)) = 0

Ignore the factor 8.

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 '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5

Solution

y = {-2, 5}

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