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Simplifying (2y + -7)(9 + -1y) = 0 Reorder the terms: (-7 + 2y)(9 + -1y) = 0 Multiply (-7 + 2y) * (9 + -1y) (-7(9 + -1y) + 2y * (9 + -1y)) = 0 ((9 * -7 + -1y * -7) + 2y * (9 + -1y)) = 0 ((-63 + 7y) + 2y * (9 + -1y)) = 0 (-63 + 7y + (9 * 2y + -1y * 2y)) = 0 (-63 + 7y + (18y + -2y2)) = 0 Combine like terms: 7y + 18y = 25y (-63 + 25y + -2y2) = 0 Solving -63 + 25y + -2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + y)(7 + -2y) = 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 '(7 + -2y)' equal to zero and attempt to solve: Simplifying 7 + -2y = 0 Solving 7 + -2y = 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 + -2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2y = 0 + -7 -2y = 0 + -7 Combine like terms: 0 + -7 = -7 -2y = -7 Divide each side by '-2'. y = 3.5 Simplifying y = 3.5Solution
y = {9, 3.5}
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