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Simplifying (9 + y)(5y + -7) = 0 Reorder the terms: (9 + y)(-7 + 5y) = 0 Multiply (9 + y) * (-7 + 5y) (9(-7 + 5y) + y(-7 + 5y)) = 0 ((-7 * 9 + 5y * 9) + y(-7 + 5y)) = 0 ((-63 + 45y) + y(-7 + 5y)) = 0 (-63 + 45y + (-7 * y + 5y * y)) = 0 (-63 + 45y + (-7y + 5y2)) = 0 Combine like terms: 45y + -7y = 38y (-63 + 38y + 5y2) = 0 Solving -63 + 38y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + -1y)(7 + -5y) = 0Subproblem 1
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 = -9Subproblem 2
Set the factor '(7 + -5y)' equal to zero and attempt to solve: Simplifying 7 + -5y = 0 Solving 7 + -5y = 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 + -5y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5y = 0 + -7 -5y = 0 + -7 Combine like terms: 0 + -7 = -7 -5y = -7 Divide each side by '-5'. y = 1.4 Simplifying y = 1.4Solution
y = {-9, 1.4}
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