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Simplifying 14y2 + 45y + -14 = 0 Reorder the terms: -14 + 45y + 14y2 = 0 Solving -14 + 45y + 14y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + -2y)(2 + -7y) = 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 + -7y)' equal to zero and attempt to solve: Simplifying 2 + -7y = 0 Solving 2 + -7y = 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 + -7y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7y = 0 + -2 -7y = 0 + -2 Combine like terms: 0 + -2 = -2 -7y = -2 Divide each side by '-7'. y = 0.2857142857 Simplifying y = 0.2857142857Solution
y = {-3.5, 0.2857142857}
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