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Simplifying (5y + -6)(8 + y) = 0 Reorder the terms: (-6 + 5y)(8 + y) = 0 Multiply (-6 + 5y) * (8 + y) (-6(8 + y) + 5y * (8 + y)) = 0 ((8 * -6 + y * -6) + 5y * (8 + y)) = 0 ((-48 + -6y) + 5y * (8 + y)) = 0 (-48 + -6y + (8 * 5y + y * 5y)) = 0 (-48 + -6y + (40y + 5y2)) = 0 Combine like terms: -6y + 40y = 34y (-48 + 34y + 5y2) = 0 Solving -48 + 34y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-8 + -1y)(6 + -5y) = 0Subproblem 1
Set the factor '(-8 + -1y)' equal to zero and attempt to solve: Simplifying -8 + -1y = 0 Solving -8 + -1y = 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 + -1y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1y = 0 + 8 -1y = 0 + 8 Combine like terms: 0 + 8 = 8 -1y = 8 Divide each side by '-1'. y = -8 Simplifying y = -8Subproblem 2
Set the factor '(6 + -5y)' equal to zero and attempt to solve: Simplifying 6 + -5y = 0 Solving 6 + -5y = 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 + -5y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5y = 0 + -6 -5y = 0 + -6 Combine like terms: 0 + -6 = -6 -5y = -6 Divide each side by '-5'. y = 1.2 Simplifying y = 1.2Solution
y = {-8, 1.2}
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