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Simplifying 3y2 + -6y = 24 Reorder the terms: -6y + 3y2 = 24 Solving -6y + 3y2 = 24 Solving for variable 'y'. Reorder the terms: -24 + -6y + 3y2 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + -6y + 3y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-8 + -2y + y2) = 0 Factor a trinomial. 3((-2 + -1y)(4 + -1y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -1y)' equal to zero and attempt to solve: Simplifying -2 + -1y = 0 Solving -2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = 0 + 2 -1y = 0 + 2 Combine like terms: 0 + 2 = 2 -1y = 2 Divide each side by '-1'. y = -2 Simplifying y = -2Subproblem 2
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 = 4Solution
y = {-2, 4}
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