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Simplifying (5y + 8)(y + -1) = 0 Reorder the terms: (8 + 5y)(y + -1) = 0 Reorder the terms: (8 + 5y)(-1 + y) = 0 Multiply (8 + 5y) * (-1 + y) (8(-1 + y) + 5y * (-1 + y)) = 0 ((-1 * 8 + y * 8) + 5y * (-1 + y)) = 0 ((-8 + 8y) + 5y * (-1 + y)) = 0 (-8 + 8y + (-1 * 5y + y * 5y)) = 0 (-8 + 8y + (-5y + 5y2)) = 0 Combine like terms: 8y + -5y = 3y (-8 + 3y + 5y2) = 0 Solving -8 + 3y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-8 + -5y)(1 + -1y) = 0Subproblem 1
Set the factor '(-8 + -5y)' equal to zero and attempt to solve: Simplifying -8 + -5y = 0 Solving -8 + -5y = 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 + -5y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5y = 0 + 8 -5y = 0 + 8 Combine like terms: 0 + 8 = 8 -5y = 8 Divide each side by '-5'. y = -1.6 Simplifying y = -1.6Subproblem 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 = {-1.6, 1}
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