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Simplifying 243 = y(4y + -9) Reorder the terms: 243 = y(-9 + 4y) 243 = (-9 * y + 4y * y) 243 = (-9y + 4y2) Solving 243 = -9y + 4y2 Solving for variable 'y'. Reorder the terms: 243 + 9y + -4y2 = -9y + 9y + 4y2 + -4y2 Combine like terms: -9y + 9y = 0 243 + 9y + -4y2 = 0 + 4y2 + -4y2 243 + 9y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 243 + 9y + -4y2 = 0 Factor a trinomial. (9 + -1y)(27 + 4y) = 0Subproblem 1
Set the factor '(9 + -1y)' equal to zero and attempt to solve: Simplifying 9 + -1y = 0 Solving 9 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 0 + -9 -1y = 0 + -9 Combine like terms: 0 + -9 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9Subproblem 2
Set the factor '(27 + 4y)' equal to zero and attempt to solve: Simplifying 27 + 4y = 0 Solving 27 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 4y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 4y = 0 + -27 4y = 0 + -27 Combine like terms: 0 + -27 = -27 4y = -27 Divide each side by '4'. y = -6.75 Simplifying y = -6.75Solution
y = {9, -6.75}
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