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Simplifying 0 = 48 + -16g + g2 Solving 0 = 48 + -16g + g2 Solving for variable 'g'. Combine like terms: 0 + -48 = -48 -48 + 16g + -1g2 = 48 + -16g + g2 + -48 + 16g + -1g2 Reorder the terms: -48 + 16g + -1g2 = 48 + -48 + -16g + 16g + g2 + -1g2 Combine like terms: 48 + -48 = 0 -48 + 16g + -1g2 = 0 + -16g + 16g + g2 + -1g2 -48 + 16g + -1g2 = -16g + 16g + g2 + -1g2 Combine like terms: -16g + 16g = 0 -48 + 16g + -1g2 = 0 + g2 + -1g2 -48 + 16g + -1g2 = g2 + -1g2 Combine like terms: g2 + -1g2 = 0 -48 + 16g + -1g2 = 0 Factor a trinomial. (-12 + g)(4 + -1g) = 0Subproblem 1
Set the factor '(-12 + g)' equal to zero and attempt to solve: Simplifying -12 + g = 0 Solving -12 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + g = 0 + 12 Combine like terms: -12 + 12 = 0 0 + g = 0 + 12 g = 0 + 12 Combine like terms: 0 + 12 = 12 g = 12 Simplifying g = 12Subproblem 2
Set the factor '(4 + -1g)' equal to zero and attempt to solve: Simplifying 4 + -1g = 0 Solving 4 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1g = 0 + -4 -1g = 0 + -4 Combine like terms: 0 + -4 = -4 -1g = -4 Divide each side by '-1'. g = 4 Simplifying g = 4Solution
g = {12, 4}
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