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Simplifying (y + 6)(9y + -8) = 0 Reorder the terms: (6 + y)(9y + -8) = 0 Reorder the terms: (6 + y)(-8 + 9y) = 0 Multiply (6 + y) * (-8 + 9y) (6(-8 + 9y) + y(-8 + 9y)) = 0 ((-8 * 6 + 9y * 6) + y(-8 + 9y)) = 0 ((-48 + 54y) + y(-8 + 9y)) = 0 (-48 + 54y + (-8 * y + 9y * y)) = 0 (-48 + 54y + (-8y + 9y2)) = 0 Combine like terms: 54y + -8y = 46y (-48 + 46y + 9y2) = 0 Solving -48 + 46y + 9y2 = 0 Solving for variable 'y'. Factor a trinomial. (-6 + -1y)(8 + -9y) = 0Subproblem 1
Set the factor '(-6 + -1y)' equal to zero and attempt to solve: Simplifying -6 + -1y = 0 Solving -6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1y = 0 + 6 -1y = 0 + 6 Combine like terms: 0 + 6 = 6 -1y = 6 Divide each side by '-1'. y = -6 Simplifying y = -6Subproblem 2
Set the factor '(8 + -9y)' equal to zero and attempt to solve: Simplifying 8 + -9y = 0 Solving 8 + -9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9y = 0 + -8 -9y = 0 + -8 Combine like terms: 0 + -8 = -8 -9y = -8 Divide each side by '-9'. y = 0.8888888889 Simplifying y = 0.8888888889Solution
y = {-6, 0.8888888889}
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