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Simplifying (y + 3)(y + -5) = 0 Reorder the terms: (3 + y)(y + -5) = 0 Reorder the terms: (3 + y)(-5 + y) = 0 Multiply (3 + y) * (-5 + y) (3(-5 + y) + y(-5 + y)) = 0 ((-5 * 3 + y * 3) + y(-5 + y)) = 0 ((-15 + 3y) + y(-5 + y)) = 0 (-15 + 3y + (-5 * y + y * y)) = 0 (-15 + 3y + (-5y + y2)) = 0 Combine like terms: 3y + -5y = -2y (-15 + -2y + y2) = 0 Solving -15 + -2y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + -1y)(5 + -1y) = 0Subproblem 1
Set the factor '(-3 + -1y)' equal to zero and attempt to solve: Simplifying -3 + -1y = 0 Solving -3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1y = 0 + 3 -1y = 0 + 3 Combine like terms: 0 + 3 = 3 -1y = 3 Divide each side by '-1'. y = -3 Simplifying y = -3Subproblem 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 = {-3, 5}
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