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Simplifying 0 = 5y2 + 14y + -87 Reorder the terms: 0 = -87 + 14y + 5y2 Solving 0 = -87 + 14y + 5y2 Solving for variable 'y'. Combine like terms: 0 + 87 = 87 87 + -14y + -5y2 = -87 + 14y + 5y2 + 87 + -14y + -5y2 Reorder the terms: 87 + -14y + -5y2 = -87 + 87 + 14y + -14y + 5y2 + -5y2 Combine like terms: -87 + 87 = 0 87 + -14y + -5y2 = 0 + 14y + -14y + 5y2 + -5y2 87 + -14y + -5y2 = 14y + -14y + 5y2 + -5y2 Combine like terms: 14y + -14y = 0 87 + -14y + -5y2 = 0 + 5y2 + -5y2 87 + -14y + -5y2 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 87 + -14y + -5y2 = 0 Factor a trinomial. (3 + -1y)(29 + 5y) = 0Subproblem 1
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 = 3Subproblem 2
Set the factor '(29 + 5y)' equal to zero and attempt to solve: Simplifying 29 + 5y = 0 Solving 29 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 5y = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 5y = 0 + -29 5y = 0 + -29 Combine like terms: 0 + -29 = -29 5y = -29 Divide each side by '5'. y = -5.8 Simplifying y = -5.8Solution
y = {3, -5.8}
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