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Simplifying 3y2 = -24y + -48 Reorder the terms: 3y2 = -48 + -24y Solving 3y2 = -48 + -24y Solving for variable 'y'. Reorder the terms: 48 + 24y + 3y2 = -48 + -24y + 48 + 24y Reorder the terms: 48 + 24y + 3y2 = -48 + 48 + -24y + 24y Combine like terms: -48 + 48 = 0 48 + 24y + 3y2 = 0 + -24y + 24y 48 + 24y + 3y2 = -24y + 24y Combine like terms: -24y + 24y = 0 48 + 24y + 3y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(16 + 8y + y2) = 0 Factor a trinomial. 3((4 + y)(4 + y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 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 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Subproblem 2
Set the factor '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 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 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Solution
y = {-4, -4}
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