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