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Simplifying (y + -9)(4y + -3) = 0 Reorder the terms: (-9 + y)(4y + -3) = 0 Reorder the terms: (-9 + y)(-3 + 4y) = 0 Multiply (-9 + y) * (-3 + 4y) (-9(-3 + 4y) + y(-3 + 4y)) = 0 ((-3 * -9 + 4y * -9) + y(-3 + 4y)) = 0 ((27 + -36y) + y(-3 + 4y)) = 0 (27 + -36y + (-3 * y + 4y * y)) = 0 (27 + -36y + (-3y + 4y2)) = 0 Combine like terms: -36y + -3y = -39y (27 + -39y + 4y2) = 0 Solving 27 + -39y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (3 + -4y)(9 + -1y) = 0Subproblem 1
Set the factor '(3 + -4y)' equal to zero and attempt to solve: Simplifying 3 + -4y = 0 Solving 3 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4y = 0 + -3 -4y = 0 + -3 Combine like terms: 0 + -3 = -3 -4y = -3 Divide each side by '-4'. y = 0.75 Simplifying y = 0.75Subproblem 2
Set the factor '(9 + -1y)' equal to zero and attempt to solve: Simplifying 9 + -1y = 0 Solving 9 + -1y = 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 + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 0 + -9 -1y = 0 + -9 Combine like terms: 0 + -9 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9Solution
y = {0.75, 9}
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