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Simplifying -64g = -9g3 Solving -64g = -9g3 Solving for variable 'g'. Combine like terms: -9g3 + 9g3 = 0 -64g + 9g3 = 0 Factor out the Greatest Common Factor (GCF), 'g'. g(-64 + 9g2) = 0 Factor a difference between two squares. g((8 + 3g)(-8 + 3g)) = 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 '(8 + 3g)' equal to zero and attempt to solve: Simplifying 8 + 3g = 0 Solving 8 + 3g = 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 + 3g = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3g = 0 + -8 3g = 0 + -8 Combine like terms: 0 + -8 = -8 3g = -8 Divide each side by '3'. g = -2.666666667 Simplifying g = -2.666666667Subproblem 3
Set the factor '(-8 + 3g)' equal to zero and attempt to solve: Simplifying -8 + 3g = 0 Solving -8 + 3g = 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 + 3g = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3g = 0 + 8 3g = 0 + 8 Combine like terms: 0 + 8 = 8 3g = 8 Divide each side by '3'. g = 2.666666667 Simplifying g = 2.666666667Solution
g = {0, -2.666666667, 2.666666667}
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