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Simplifying 4y2 + -48y = 112 Reorder the terms: -48y + 4y2 = 112 Solving -48y + 4y2 = 112 Solving for variable 'y'. Reorder the terms: -112 + -48y + 4y2 = 112 + -112 Combine like terms: 112 + -112 = 0 -112 + -48y + 4y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-28 + -12y + y2) = 0 Factor a trinomial. 4((-2 + -1y)(14 + -1y)) = 0 Ignore the factor 4.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 '(14 + -1y)' equal to zero and attempt to solve: Simplifying 14 + -1y = 0 Solving 14 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1y = 0 + -14 -1y = 0 + -14 Combine like terms: 0 + -14 = -14 -1y = -14 Divide each side by '-1'. y = 14 Simplifying y = 14Solution
y = {-2, 14}
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