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Simplifying 36 = -9y2 + 45y Reorder the terms: 36 = 45y + -9y2 Solving 36 = 45y + -9y2 Solving for variable 'y'. Reorder the terms: 36 + -45y + 9y2 = 45y + -45y + -9y2 + 9y2 Combine like terms: 45y + -45y = 0 36 + -45y + 9y2 = 0 + -9y2 + 9y2 36 + -45y + 9y2 = -9y2 + 9y2 Combine like terms: -9y2 + 9y2 = 0 36 + -45y + 9y2 = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(4 + -5y + y2) = 0 Factor a trinomial. 9((1 + -1y)(4 + -1y)) = 0 Ignore the factor 9.Subproblem 1
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 = 1Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 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 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {1, 4}
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