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Simplifying 40y2 + 9y + -10 = 0 Reorder the terms: -10 + 9y + 40y2 = 0 Solving -10 + 9y + 40y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + -8y)(2 + -5y) = 0Subproblem 1
Set the factor '(-5 + -8y)' equal to zero and attempt to solve: Simplifying -5 + -8y = 0 Solving -5 + -8y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -8y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8y = 0 + 5 -8y = 0 + 5 Combine like terms: 0 + 5 = 5 -8y = 5 Divide each side by '-8'. y = -0.625 Simplifying y = -0.625Subproblem 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 = {-0.625, 0.4}
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