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Simplifying 3g2 + 18g = 48 Reorder the terms: 18g + 3g2 = 48 Solving 18g + 3g2 = 48 Solving for variable 'g'. Reorder the terms: -48 + 18g + 3g2 = 48 + -48 Combine like terms: 48 + -48 = 0 -48 + 18g + 3g2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-16 + 6g + g2) = 0 Factor a trinomial. 3((-8 + -1g)(2 + -1g)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-8 + -1g)' equal to zero and attempt to solve: Simplifying -8 + -1g = 0 Solving -8 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1g = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1g = 0 + 8 -1g = 0 + 8 Combine like terms: 0 + 8 = 8 -1g = 8 Divide each side by '-1'. g = -8 Simplifying g = -8Subproblem 2
Set the factor '(2 + -1g)' equal to zero and attempt to solve: Simplifying 2 + -1g = 0 Solving 2 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1g = 0 + -2 -1g = 0 + -2 Combine like terms: 0 + -2 = -2 -1g = -2 Divide each side by '-1'. g = 2 Simplifying g = 2Solution
g = {-8, 2}
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