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Simplifying (5y + 9)(y + -7) = 0 Reorder the terms: (9 + 5y)(y + -7) = 0 Reorder the terms: (9 + 5y)(-7 + y) = 0 Multiply (9 + 5y) * (-7 + y) (9(-7 + y) + 5y * (-7 + y)) = 0 ((-7 * 9 + y * 9) + 5y * (-7 + y)) = 0 ((-63 + 9y) + 5y * (-7 + y)) = 0 (-63 + 9y + (-7 * 5y + y * 5y)) = 0 (-63 + 9y + (-35y + 5y2)) = 0 Combine like terms: 9y + -35y = -26y (-63 + -26y + 5y2) = 0 Solving -63 + -26y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + -5y)(7 + -1y) = 0Subproblem 1
Set the factor '(-9 + -5y)' equal to zero and attempt to solve: Simplifying -9 + -5y = 0 Solving -9 + -5y = 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 + -5y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5y = 0 + 9 -5y = 0 + 9 Combine like terms: 0 + 9 = 9 -5y = 9 Divide each side by '-5'. y = -1.8 Simplifying y = -1.8Subproblem 2
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 = 7Solution
y = {-1.8, 7}
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