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Simplifying 4y2 + -48y + -1152 = 0 Reorder the terms: -1152 + -48y + 4y2 = 0 Solving -1152 + -48y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(-288 + -12y + y2) = 0 Factor a trinomial. 4((-12 + -1y)(24 + -1y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-12 + -1y)' equal to zero and attempt to solve: Simplifying -12 + -1y = 0 Solving -12 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1y = 0 + 12 -1y = 0 + 12 Combine like terms: 0 + 12 = 12 -1y = 12 Divide each side by '-1'. y = -12 Simplifying y = -12Subproblem 2
Set the factor '(24 + -1y)' equal to zero and attempt to solve: Simplifying 24 + -1y = 0 Solving 24 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1y = 0 + -24 -1y = 0 + -24 Combine like terms: 0 + -24 = -24 -1y = -24 Divide each side by '-1'. y = 24 Simplifying y = 24Solution
y = {-12, 24}
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