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Simplifying 8g * g * g + -2g * g = 2g * g + -5g * g Multiply g * g 8g2 * g + -2g * g = 2g * g + -5g * g Multiply g2 * g 8g3 + -2g * g = 2g * g + -5g * g Multiply g * g 8g3 + -2g2 = 2g * g + -5g * g Reorder the terms: -2g2 + 8g3 = 2g * g + -5g * g Multiply g * g -2g2 + 8g3 = 2g2 + -5g * g Multiply g * g -2g2 + 8g3 = 2g2 + -5g2 Combine like terms: 2g2 + -5g2 = -3g2 -2g2 + 8g3 = -3g2 Solving -2g2 + 8g3 = -3g2 Solving for variable 'g'. Reorder the terms: -2g2 + 3g2 + 8g3 = -3g2 + 3g2 Combine like terms: -2g2 + 3g2 = 1g2 1g2 + 8g3 = -3g2 + 3g2 Combine like terms: -3g2 + 3g2 = 0 1g2 + 8g3 = 0 Factor out the Greatest Common Factor (GCF), 'g2'. g2(1 + 8g) = 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 '(1 + 8g)' equal to zero and attempt to solve: Simplifying 1 + 8g = 0 Solving 1 + 8g = 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 + 8g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8g = 0 + -1 8g = 0 + -1 Combine like terms: 0 + -1 = -1 8g = -1 Divide each side by '8'. g = -0.125 Simplifying g = -0.125Solution
g = {0, -0.125}
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