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