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Simplifying 4g5 + -25g3 = 0 Reorder the terms: -25g3 + 4g5 = 0 Solving -25g3 + 4g5 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), 'g3'. g3(-25 + 4g2) = 0 Factor a difference between two squares. g3((5 + 2g)(-5 + 2g)) = 0Subproblem 1
Set the factor 'g3' equal to zero and attempt to solve: Simplifying g3 = 0 Solving g3 = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + 2g)' equal to zero and attempt to solve: Simplifying 5 + 2g = 0 Solving 5 + 2g = 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 + 2g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2g = 0 + -5 2g = 0 + -5 Combine like terms: 0 + -5 = -5 2g = -5 Divide each side by '2'. g = -2.5 Simplifying g = -2.5Subproblem 3
Set the factor '(-5 + 2g)' equal to zero and attempt to solve: Simplifying -5 + 2g = 0 Solving -5 + 2g = 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 + 2g = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2g = 0 + 5 2g = 0 + 5 Combine like terms: 0 + 5 = 5 2g = 5 Divide each side by '2'. g = 2.5 Simplifying g = 2.5Solution
g = {-2.5, 2.5}
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