8y^2-34y-30=0

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Solution for 8y^2-34y-30=0 equation:


Simplifying
8y2 + -34y + -30 = 0

Reorder the terms:
-30 + -34y + 8y2 = 0

Solving
-30 + -34y + 8y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + -17y + 4y2) = 0

Factor a trinomial.
2((-3 + -4y)(5 + -1y)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + -4y)' equal to zero and attempt to solve: Simplifying -3 + -4y = 0 Solving -3 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4y = 0 + 3 -4y = 0 + 3 Combine like terms: 0 + 3 = 3 -4y = 3 Divide each side by '-4'. y = -0.75 Simplifying y = -0.75

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 = {-0.75, 5}

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