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Simplifying 20y2 + 24y + -9 = 0 Reorder the terms: -9 + 24y + 20y2 = 0 Solving -9 + 24y + 20y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + -2y)(3 + -10y) = 0Subproblem 1
Set the factor '(-3 + -2y)' equal to zero and attempt to solve: Simplifying -3 + -2y = 0 Solving -3 + -2y = 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 + -2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = 0 + 3 -2y = 0 + 3 Combine like terms: 0 + 3 = 3 -2y = 3 Divide each side by '-2'. y = -1.5 Simplifying y = -1.5Subproblem 2
Set the factor '(3 + -10y)' equal to zero and attempt to solve: Simplifying 3 + -10y = 0 Solving 3 + -10y = 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 + -10y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -10y = 0 + -3 -10y = 0 + -3 Combine like terms: 0 + -3 = -3 -10y = -3 Divide each side by '-10'. y = 0.3 Simplifying y = 0.3Solution
y = {-1.5, 0.3}
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