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Simplifying 75g3 + -147g = 0 Reorder the terms: -147g + 75g3 = 0 Solving -147g + 75g3 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '3g'. 3g(-49 + 25g2) = 0 Factor a difference between two squares. 3g((7 + 5g)(-7 + 5g)) = 0 Ignore the factor 3.Subproblem 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 '(7 + 5g)' equal to zero and attempt to solve: Simplifying 7 + 5g = 0 Solving 7 + 5g = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5g = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5g = 0 + -7 5g = 0 + -7 Combine like terms: 0 + -7 = -7 5g = -7 Divide each side by '5'. g = -1.4 Simplifying g = -1.4Subproblem 3
Set the factor '(-7 + 5g)' equal to zero and attempt to solve: Simplifying -7 + 5g = 0 Solving -7 + 5g = 0 Move all terms containing g to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 5g = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5g = 0 + 7 5g = 0 + 7 Combine like terms: 0 + 7 = 7 5g = 7 Divide each side by '5'. g = 1.4 Simplifying g = 1.4Solution
g = {0, -1.4, 1.4}
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