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Simplifying -9y = 4y2 + -9 Reorder the terms: -9y = -9 + 4y2 Solving -9y = -9 + 4y2 Solving for variable 'y'. Reorder the terms: 9 + -9y + -4y2 = -9 + 4y2 + 9 + -4y2 Reorder the terms: 9 + -9y + -4y2 = -9 + 9 + 4y2 + -4y2 Combine like terms: -9 + 9 = 0 9 + -9y + -4y2 = 0 + 4y2 + -4y2 9 + -9y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 9 + -9y + -4y2 = 0 Factor a trinomial. (3 + -4y)(3 + y) = 0Subproblem 1
Set the factor '(3 + -4y)' equal to zero and attempt to solve: Simplifying 3 + -4y = 0 Solving 3 + -4y = 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 + -4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4y = 0 + -3 -4y = 0 + -3 Combine like terms: 0 + -3 = -3 -4y = -3 Divide each side by '-4'. y = 0.75 Simplifying y = 0.75Subproblem 2
Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 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 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Solution
y = {0.75, -3}
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