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Simplifying (3y + -3)(y + 5) = 0 Reorder the terms: (-3 + 3y)(y + 5) = 0 Reorder the terms: (-3 + 3y)(5 + y) = 0 Multiply (-3 + 3y) * (5 + y) (-3(5 + y) + 3y * (5 + y)) = 0 ((5 * -3 + y * -3) + 3y * (5 + y)) = 0 ((-15 + -3y) + 3y * (5 + y)) = 0 (-15 + -3y + (5 * 3y + y * 3y)) = 0 (-15 + -3y + (15y + 3y2)) = 0 Combine like terms: -3y + 15y = 12y (-15 + 12y + 3y2) = 0 Solving -15 + 12y + 3y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + 4y + y2) = 0 Factor a trinomial. 3((-5 + -1y)(1 + -1y)) = 0 Ignore the factor 3.Subproblem 1
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 = -5Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Solution
y = {-5, 1}
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