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Simplifying 20y2 + -27y = 14 Reorder the terms: -27y + 20y2 = 14 Solving -27y + 20y2 = 14 Solving for variable 'y'. Reorder the terms: -14 + -27y + 20y2 = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + -27y + 20y2 = 0 Factor a trinomial. (-2 + -5y)(7 + -4y) = 0Subproblem 1
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 = -0.4Subproblem 2
Set the factor '(7 + -4y)' equal to zero and attempt to solve: Simplifying 7 + -4y = 0 Solving 7 + -4y = 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 + -4y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4y = 0 + -7 -4y = 0 + -7 Combine like terms: 0 + -7 = -7 -4y = -7 Divide each side by '-4'. y = 1.75 Simplifying y = 1.75Solution
y = {-0.4, 1.75}
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