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Simplifying 8g3 + -2g3 = 2g3 + -5g2 Combine like terms: 8g3 + -2g3 = 6g3 6g3 = 2g3 + -5g2 Reorder the terms: 6g3 = -5g2 + 2g3 Solving 6g3 = -5g2 + 2g3 Solving for variable 'g'. Reorder the terms: 5g2 + 6g3 + -2g3 = -5g2 + 2g3 + 5g2 + -2g3 Combine like terms: 6g3 + -2g3 = 4g3 5g2 + 4g3 = -5g2 + 2g3 + 5g2 + -2g3 Reorder the terms: 5g2 + 4g3 = -5g2 + 5g2 + 2g3 + -2g3 Combine like terms: -5g2 + 5g2 = 0 5g2 + 4g3 = 0 + 2g3 + -2g3 5g2 + 4g3 = 2g3 + -2g3 Combine like terms: 2g3 + -2g3 = 0 5g2 + 4g3 = 0 Factor out the Greatest Common Factor (GCF), 'g2'. g2(5 + 4g) = 0Subproblem 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 '(5 + 4g)' equal to zero and attempt to solve: Simplifying 5 + 4g = 0 Solving 5 + 4g = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4g = 0 + -5 4g = 0 + -5 Combine like terms: 0 + -5 = -5 4g = -5 Divide each side by '4'. g = -1.25 Simplifying g = -1.25Solution
g = {0, -1.25}
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