8y^2-14y-9=0

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Solution for 8y^2-14y-9=0 equation:


Simplifying
8y2 + -14y + -9 = 0

Reorder the terms:
-9 + -14y + 8y2 = 0

Solving
-9 + -14y + 8y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-1 + -2y)(9 + -4y) = 0

Subproblem 1

Set the factor '(-1 + -2y)' equal to zero and attempt to solve: Simplifying -1 + -2y = 0 Solving -1 + -2y = 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 + -2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2y = 0 + 1 -2y = 0 + 1 Combine like terms: 0 + 1 = 1 -2y = 1 Divide each side by '-2'. y = -0.5 Simplifying y = -0.5

Subproblem 2

Set the factor '(9 + -4y)' equal to zero and attempt to solve: Simplifying 9 + -4y = 0 Solving 9 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4y = 0 + -9 -4y = 0 + -9 Combine like terms: 0 + -9 = -9 -4y = -9 Divide each side by '-4'. y = 2.25 Simplifying y = 2.25

Solution

y = {-0.5, 2.25}

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