5y^2+8y-69=0

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Solution for 5y^2+8y-69=0 equation:


Simplifying
5y2 + 8y + -69 = 0

Reorder the terms:
-69 + 8y + 5y2 = 0

Solving
-69 + 8y + 5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-23 + -5y)(3 + -1y) = 0

Subproblem 1

Set the factor '(-23 + -5y)' equal to zero and attempt to solve: Simplifying -23 + -5y = 0 Solving -23 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -5y = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -5y = 0 + 23 -5y = 0 + 23 Combine like terms: 0 + 23 = 23 -5y = 23 Divide each side by '-5'. y = -4.6 Simplifying y = -4.6

Subproblem 2

Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 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 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3

Solution

y = {-4.6, 3}

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