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Simplifying (4 + -1y)(4y + -9) = 0 Reorder the terms: (4 + -1y)(-9 + 4y) = 0 Multiply (4 + -1y) * (-9 + 4y) (4(-9 + 4y) + -1y * (-9 + 4y)) = 0 ((-9 * 4 + 4y * 4) + -1y * (-9 + 4y)) = 0 ((-36 + 16y) + -1y * (-9 + 4y)) = 0 (-36 + 16y + (-9 * -1y + 4y * -1y)) = 0 (-36 + 16y + (9y + -4y2)) = 0 Combine like terms: 16y + 9y = 25y (-36 + 25y + -4y2) = 0 Solving -36 + 25y + -4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-4 + y)(9 + -4y) = 0Subproblem 1
Set the factor '(-4 + y)' equal to zero and attempt to solve: Simplifying -4 + y = 0 Solving -4 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + y = 0 + 4 y = 0 + 4 Combine like terms: 0 + 4 = 4 y = 4 Simplifying y = 4Subproblem 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, 2.25}
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