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Simplifying 4y2 + 76y + 361 = 0 Reorder the terms: 361 + 76y + 4y2 = 0 Solving 361 + 76y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (19 + 2y)(19 + 2y) = 0Subproblem 1
Set the factor '(19 + 2y)' equal to zero and attempt to solve: Simplifying 19 + 2y = 0 Solving 19 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2y = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 2y = 0 + -19 2y = 0 + -19 Combine like terms: 0 + -19 = -19 2y = -19 Divide each side by '2'. y = -9.5 Simplifying y = -9.5Subproblem 2
Set the factor '(19 + 2y)' equal to zero and attempt to solve: Simplifying 19 + 2y = 0 Solving 19 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2y = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 2y = 0 + -19 2y = 0 + -19 Combine like terms: 0 + -19 = -19 2y = -19 Divide each side by '2'. y = -9.5 Simplifying y = -9.5Solution
y = {-9.5, -9.5}
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