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Simplifying 10y2 + 39y + 14 = 0 Reorder the terms: 14 + 39y + 10y2 = 0 Solving 14 + 39y + 10y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + 2y)(2 + 5y) = 0Subproblem 1
Set the factor '(7 + 2y)' equal to zero and attempt to solve: Simplifying 7 + 2y = 0 Solving 7 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2y = 0 + -7 2y = 0 + -7 Combine like terms: 0 + -7 = -7 2y = -7 Divide each side by '2'. y = -3.5 Simplifying y = -3.5Subproblem 2
Set the factor '(2 + 5y)' equal to zero and attempt to solve: Simplifying 2 + 5y = 0 Solving 2 + 5y = 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 + 5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = 0 + -2 5y = 0 + -2 Combine like terms: 0 + -2 = -2 5y = -2 Divide each side by '5'. y = -0.4 Simplifying y = -0.4Solution
y = {-3.5, -0.4}
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