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Simplifying y(y + -5)(y + 6) = 0 Reorder the terms: y(-5 + y)(y + 6) = 0 Reorder the terms: y(-5 + y)(6 + y) = 0 Multiply (-5 + y) * (6 + y) y(-5(6 + y) + y(6 + y)) = 0 y((6 * -5 + y * -5) + y(6 + y)) = 0 y((-30 + -5y) + y(6 + y)) = 0 y(-30 + -5y + (6 * y + y * y)) = 0 y(-30 + -5y + (6y + y2)) = 0 Combine like terms: -5y + 6y = 1y y(-30 + 1y + y2) = 0 (-30 * y + 1y * y + y2 * y) = 0 (-30y + 1y2 + y3) = 0 Solving -30y + 1y2 + y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-30 + y + y2) = 0 Factor a trinomial. y((-6 + -1y)(5 + -1y)) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-6 + -1y)' equal to zero and attempt to solve: Simplifying -6 + -1y = 0 Solving -6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1y = 0 + 6 -1y = 0 + 6 Combine like terms: 0 + 6 = 6 -1y = 6 Divide each side by '-1'. y = -6 Simplifying y = -6Subproblem 3
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 = {0, -6, 5}
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