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Simplifying (9 + -1y)(4y + -1) = 0 Reorder the terms: (9 + -1y)(-1 + 4y) = 0 Multiply (9 + -1y) * (-1 + 4y) (9(-1 + 4y) + -1y * (-1 + 4y)) = 0 ((-1 * 9 + 4y * 9) + -1y * (-1 + 4y)) = 0 ((-9 + 36y) + -1y * (-1 + 4y)) = 0 (-9 + 36y + (-1 * -1y + 4y * -1y)) = 0 (-9 + 36y + (1y + -4y2)) = 0 Combine like terms: 36y + 1y = 37y (-9 + 37y + -4y2) = 0 Solving -9 + 37y + -4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + y)(1 + -4y) = 0Subproblem 1
Set the factor '(-9 + y)' equal to zero and attempt to solve: Simplifying -9 + y = 0 Solving -9 + y = 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 + y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + y = 0 + 9 y = 0 + 9 Combine like terms: 0 + 9 = 9 y = 9 Simplifying y = 9Subproblem 2
Set the factor '(1 + -4y)' equal to zero and attempt to solve: Simplifying 1 + -4y = 0 Solving 1 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4y = 0 + -1 -4y = 0 + -1 Combine like terms: 0 + -1 = -1 -4y = -1 Divide each side by '-4'. y = 0.25 Simplifying y = 0.25Solution
y = {9, 0.25}
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