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Simplifying (4y + -9)(4y + -9) = 0 Reorder the terms: (-9 + 4y)(4y + -9) = 0 Reorder the terms: (-9 + 4y)(-9 + 4y) = 0 Multiply (-9 + 4y) * (-9 + 4y) (-9(-9 + 4y) + 4y * (-9 + 4y)) = 0 ((-9 * -9 + 4y * -9) + 4y * (-9 + 4y)) = 0 ((81 + -36y) + 4y * (-9 + 4y)) = 0 (81 + -36y + (-9 * 4y + 4y * 4y)) = 0 (81 + -36y + (-36y + 16y2)) = 0 Combine like terms: -36y + -36y = -72y (81 + -72y + 16y2) = 0 Solving 81 + -72y + 16y2 = 0 Solving for variable 'y'. Factor a trinomial. (9 + -4y)(9 + -4y) = 0Subproblem 1
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 = 2.25Subproblem 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 = {2.25, 2.25}
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