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Simplifying (9 + y)(5y + -1) = 0 Reorder the terms: (9 + y)(-1 + 5y) = 0 Multiply (9 + y) * (-1 + 5y) (9(-1 + 5y) + y(-1 + 5y)) = 0 ((-1 * 9 + 5y * 9) + y(-1 + 5y)) = 0 ((-9 + 45y) + y(-1 + 5y)) = 0 (-9 + 45y + (-1 * y + 5y * y)) = 0 (-9 + 45y + (-1y + 5y2)) = 0 Combine like terms: 45y + -1y = 44y (-9 + 44y + 5y2) = 0 Solving -9 + 44y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + -1y)(1 + -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 '(1 + -5y)' equal to zero and attempt to solve: Simplifying 1 + -5y = 0 Solving 1 + -5y = 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 + -5y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5y = 0 + -1 -5y = 0 + -1 Combine like terms: 0 + -1 = -1 -5y = -1 Divide each side by '-5'. y = 0.2 Simplifying y = 0.2Solution
y = {-9, 0.2}
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