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Simplifying y(5y + -9) = -4 Reorder the terms: y(-9 + 5y) = -4 (-9 * y + 5y * y) = -4 (-9y + 5y2) = -4 Solving -9y + 5y2 = -4 Solving for variable 'y'. Reorder the terms: 4 + -9y + 5y2 = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -9y + 5y2 = 0 Factor a trinomial. (4 + -5y)(1 + -1y) = 0Subproblem 1
Set the factor '(4 + -5y)' equal to zero and attempt to solve: Simplifying 4 + -5y = 0 Solving 4 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5y = 0 + -4 -5y = 0 + -4 Combine like terms: 0 + -4 = -4 -5y = -4 Divide each side by '-5'. y = 0.8 Simplifying y = 0.8Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Solution
y = {0.8, 1}
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