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Simplifying (4y + -9)(7 + y) = 0 Reorder the terms: (-9 + 4y)(7 + y) = 0 Multiply (-9 + 4y) * (7 + y) (-9(7 + y) + 4y * (7 + y)) = 0 ((7 * -9 + y * -9) + 4y * (7 + y)) = 0 ((-63 + -9y) + 4y * (7 + y)) = 0 (-63 + -9y + (7 * 4y + y * 4y)) = 0 (-63 + -9y + (28y + 4y2)) = 0 Combine like terms: -9y + 28y = 19y (-63 + 19y + 4y2) = 0 Solving -63 + 19y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + -1y)(9 + -4y) = 0Subproblem 1
Set the factor '(-7 + -1y)' equal to zero and attempt to solve: Simplifying -7 + -1y = 0 Solving -7 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = 0 + 7 -1y = 0 + 7 Combine like terms: 0 + 7 = 7 -1y = 7 Divide each side by '-1'. y = -7 Simplifying y = -7Subproblem 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 = {-7, 2.25}
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