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Simplifying 25g3 + -81g = 0 Reorder the terms: -81g + 25g3 = 0 Solving -81g + 25g3 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), 'g'. g(-81 + 25g2) = 0 Factor a difference between two squares. g((9 + 5g)(-9 + 5g)) = 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 '(9 + 5g)' equal to zero and attempt to solve: Simplifying 9 + 5g = 0 Solving 9 + 5g = 0 Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5g = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5g = 0 + -9 5g = 0 + -9 Combine like terms: 0 + -9 = -9 5g = -9 Divide each side by '5'. g = -1.8 Simplifying g = -1.8Subproblem 3
Set the factor '(-9 + 5g)' equal to zero and attempt to solve: Simplifying -9 + 5g = 0 Solving -9 + 5g = 0 Move all terms containing g to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5g = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5g = 0 + 9 5g = 0 + 9 Combine like terms: 0 + 9 = 9 5g = 9 Divide each side by '5'. g = 1.8 Simplifying g = 1.8Solution
g = {0, -1.8, 1.8}
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