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Simplifying g3 = 100g Solving g3 = 100g Solving for variable 'g'. Reorder the terms: -100g + g3 = 100g + -100g Combine like terms: 100g + -100g = 0 -100g + g3 = 0 Factor out the Greatest Common Factor (GCF), 'g'. g(-100 + g2) = 0 Factor a difference between two squares. g((10 + g)(-10 + g)) = 0Subproblem 1
Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g = 0Subproblem 2
Set the factor '(10 + g)' equal to zero and attempt to solve: Simplifying 10 + g = 0 Solving 10 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + g = 0 + -10 Combine like terms: 10 + -10 = 0 0 + g = 0 + -10 g = 0 + -10 Combine like terms: 0 + -10 = -10 g = -10 Simplifying g = -10Subproblem 3
Set the factor '(-10 + g)' equal to zero and attempt to solve: Simplifying -10 + g = 0 Solving -10 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + g = 0 + 10 Combine like terms: -10 + 10 = 0 0 + g = 0 + 10 g = 0 + 10 Combine like terms: 0 + 10 = 10 g = 10 Simplifying g = 10Solution
g = {0, -10, 10}
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