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Simplifying (9 + -1y)(4y + -5) = 0 Reorder the terms: (9 + -1y)(-5 + 4y) = 0 Multiply (9 + -1y) * (-5 + 4y) (9(-5 + 4y) + -1y * (-5 + 4y)) = 0 ((-5 * 9 + 4y * 9) + -1y * (-5 + 4y)) = 0 ((-45 + 36y) + -1y * (-5 + 4y)) = 0 (-45 + 36y + (-5 * -1y + 4y * -1y)) = 0 (-45 + 36y + (5y + -4y2)) = 0 Combine like terms: 36y + 5y = 41y (-45 + 41y + -4y2) = 0 Solving -45 + 41y + -4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + y)(5 + -4y) = 0Subproblem 1
Set the factor '(-9 + y)' equal to zero and attempt to solve: Simplifying -9 + y = 0 Solving -9 + y = 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 + y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + y = 0 + 9 y = 0 + 9 Combine like terms: 0 + 9 = 9 y = 9 Simplifying y = 9Subproblem 2
Set the factor '(5 + -4y)' equal to zero and attempt to solve: Simplifying 5 + -4y = 0 Solving 5 + -4y = 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 + -4y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4y = 0 + -5 -4y = 0 + -5 Combine like terms: 0 + -5 = -5 -4y = -5 Divide each side by '-4'. y = 1.25 Simplifying y = 1.25Solution
y = {9, 1.25}
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