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Simplifying 2y(4y + 9) = 81 Reorder the terms: 2y(9 + 4y) = 81 (9 * 2y + 4y * 2y) = 81 (18y + 8y2) = 81 Solving 18y + 8y2 = 81 Solving for variable 'y'. Reorder the terms: -81 + 18y + 8y2 = 81 + -81 Combine like terms: 81 + -81 = 0 -81 + 18y + 8y2 = 0 Factor a trinomial. (-9 + -2y)(9 + -4y) = 0Subproblem 1
Set the factor '(-9 + -2y)' equal to zero and attempt to solve: Simplifying -9 + -2y = 0 Solving -9 + -2y = 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 + -2y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2y = 0 + 9 -2y = 0 + 9 Combine like terms: 0 + 9 = 9 -2y = 9 Divide each side by '-2'. y = -4.5 Simplifying y = -4.5Subproblem 2
Set the factor '(9 + -4y)' equal to zero and attempt to solve: Simplifying 9 + -4y = 0 Solving 9 + -4y = 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 + -4y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4y = 0 + -9 -4y = 0 + -9 Combine like terms: 0 + -9 = -9 -4y = -9 Divide each side by '-4'. y = 2.25 Simplifying y = 2.25Solution
y = {-4.5, 2.25}
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