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Simplifying 9(y + -5) + -8y(y + -5) = 0 Reorder the terms: 9(-5 + y) + -8y(y + -5) = 0 (-5 * 9 + y * 9) + -8y(y + -5) = 0 (-45 + 9y) + -8y(y + -5) = 0 Reorder the terms: -45 + 9y + -8y(-5 + y) = 0 -45 + 9y + (-5 * -8y + y * -8y) = 0 -45 + 9y + (40y + -8y2) = 0 Combine like terms: 9y + 40y = 49y -45 + 49y + -8y2 = 0 Solving -45 + 49y + -8y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + y)(9 + -8y) = 0Subproblem 1
Set the factor '(-5 + y)' equal to zero and attempt to solve: Simplifying -5 + y = 0 Solving -5 + y = 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 + y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + y = 0 + 5 y = 0 + 5 Combine like terms: 0 + 5 = 5 y = 5 Simplifying y = 5Subproblem 2
Set the factor '(9 + -8y)' equal to zero and attempt to solve: Simplifying 9 + -8y = 0 Solving 9 + -8y = 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 + -8y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8y = 0 + -9 -8y = 0 + -9 Combine like terms: 0 + -9 = -9 -8y = -9 Divide each side by '-8'. y = 1.125 Simplifying y = 1.125Solution
y = {5, 1.125}
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