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Simplifying (6 + -1y)(4y + -9) = 0 Reorder the terms: (6 + -1y)(-9 + 4y) = 0 Multiply (6 + -1y) * (-9 + 4y) (6(-9 + 4y) + -1y * (-9 + 4y)) = 0 ((-9 * 6 + 4y * 6) + -1y * (-9 + 4y)) = 0 ((-54 + 24y) + -1y * (-9 + 4y)) = 0 (-54 + 24y + (-9 * -1y + 4y * -1y)) = 0 (-54 + 24y + (9y + -4y2)) = 0 Combine like terms: 24y + 9y = 33y (-54 + 33y + -4y2) = 0 Solving -54 + 33y + -4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-6 + y)(9 + -4y) = 0Subproblem 1
Set the factor '(-6 + y)' equal to zero and attempt to solve: Simplifying -6 + y = 0 Solving -6 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + y = 0 + 6 y = 0 + 6 Combine like terms: 0 + 6 = 6 y = 6 Simplifying y = 6Subproblem 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 = {6, 2.25}
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