8y^2-15y-2=0

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Solution for 8y^2-15y-2=0 equation:


Simplifying
8y2 + -15y + -2 = 0

Reorder the terms:
-2 + -15y + 8y2 = 0

Solving
-2 + -15y + 8y2 = 0

Solving for variable 'y'.

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

Subproblem 1

Set the factor '(-1 + -8y)' equal to zero and attempt to solve: Simplifying -1 + -8y = 0 Solving -1 + -8y = 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 + -8y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8y = 0 + 1 -8y = 0 + 1 Combine like terms: 0 + 1 = 1 -8y = 1 Divide each side by '-8'. y = -0.125 Simplifying y = -0.125

Subproblem 2

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

Solution

y = {-0.125, 2}

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