4y^2+68y+289=0

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Solution for 4y^2+68y+289=0 equation:


Simplifying
4y2 + 68y + 289 = 0

Reorder the terms:
289 + 68y + 4y2 = 0

Solving
289 + 68y + 4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(17 + 2y)(17 + 2y) = 0

Subproblem 1

Set the factor '(17 + 2y)' equal to zero and attempt to solve: Simplifying 17 + 2y = 0 Solving 17 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 2y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2y = 0 + -17 2y = 0 + -17 Combine like terms: 0 + -17 = -17 2y = -17 Divide each side by '2'. y = -8.5 Simplifying y = -8.5

Subproblem 2

Set the factor '(17 + 2y)' equal to zero and attempt to solve: Simplifying 17 + 2y = 0 Solving 17 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 2y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2y = 0 + -17 2y = 0 + -17 Combine like terms: 0 + -17 = -17 2y = -17 Divide each side by '2'. y = -8.5 Simplifying y = -8.5

Solution

y = {-8.5, -8.5}

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