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Simplifying (y + 5)(9y + -9) = 0 Reorder the terms: (5 + y)(9y + -9) = 0 Reorder the terms: (5 + y)(-9 + 9y) = 0 Multiply (5 + y) * (-9 + 9y) (5(-9 + 9y) + y(-9 + 9y)) = 0 ((-9 * 5 + 9y * 5) + y(-9 + 9y)) = 0 ((-45 + 45y) + y(-9 + 9y)) = 0 (-45 + 45y + (-9 * y + 9y * y)) = 0 (-45 + 45y + (-9y + 9y2)) = 0 Combine like terms: 45y + -9y = 36y (-45 + 36y + 9y2) = 0 Solving -45 + 36y + 9y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '9'. 9(-5 + 4y + y2) = 0 Factor a trinomial. 9((-5 + -1y)(1 + -1y)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(-5 + -1y)' equal to zero and attempt to solve: Simplifying -5 + -1y = 0 Solving -5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1y = 0 + 5 -1y = 0 + 5 Combine like terms: 0 + 5 = 5 -1y = 5 Divide each side by '-1'. y = -5 Simplifying y = -5Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Solution
y = {-5, 1}
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