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Simplifying 24g4 + 18g2 = 6g2(4g2 + 3g) Reorder the terms: 18g2 + 24g4 = 6g2(4g2 + 3g) Reorder the terms: 18g2 + 24g4 = 6g2(3g + 4g2) 18g2 + 24g4 = (3g * 6g2 + 4g2 * 6g2) 18g2 + 24g4 = (18g3 + 24g4) Add '-24g4' to each side of the equation. 18g2 + 24g4 + -24g4 = 18g3 + 24g4 + -24g4 Combine like terms: 24g4 + -24g4 = 0 18g2 + 0 = 18g3 + 24g4 + -24g4 18g2 = 18g3 + 24g4 + -24g4 Combine like terms: 24g4 + -24g4 = 0 18g2 = 18g3 + 0 18g2 = 18g3 Solving 18g2 = 18g3 Solving for variable 'g'. Combine like terms: 18g3 + -18g3 = 0 18g2 + -18g3 = 0 Factor out the Greatest Common Factor (GCF), '18g2'. 18g2(1 + -1g) = 0 Ignore the factor 18.Subproblem 1
Set the factor 'g2' equal to zero and attempt to solve: Simplifying g2 = 0 Solving g2 = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g2 = 0 Take the square root of each side: g = {0}Subproblem 2
Set the factor '(1 + -1g)' equal to zero and attempt to solve: Simplifying 1 + -1g = 0 Solving 1 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1g = 0 + -1 -1g = 0 + -1 Combine like terms: 0 + -1 = -1 -1g = -1 Divide each side by '-1'. g = 1 Simplifying g = 1Solution
g = {0, 1}
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