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Simplifying 4fg2 + -5g2 + 3fg + -7fg2 = 0 Reorder the terms: 3fg + 4fg2 + -7fg2 + -5g2 = 0 Combine like terms: 4fg2 + -7fg2 = -3fg2 3fg + -3fg2 + -5g2 = 0 Solving 3fg + -3fg2 + -5g2 = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '5g2' to each side of the equation. 3fg + -3fg2 + -5g2 + 5g2 = 0 + 5g2 Combine like terms: -5g2 + 5g2 = 0 3fg + -3fg2 + 0 = 0 + 5g2 3fg + -3fg2 = 0 + 5g2 Remove the zero: 3fg + -3fg2 = 5g2 Combine like terms: 5g2 + -5g2 = 0 3fg + -3fg2 + -5g2 = 0 Factor out the Greatest Common Factor (GCF), 'g'. g(3f + -3fg + -5g) = 0Subproblem 1
Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing f to the left, all other terms to the right. Add '-1g' to each side of the equation. g + -1g = 0 + -1g Remove the zero: 0 = -1g Simplifying 0 = -1g 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 '(3f + -3fg + -5g)' equal to zero and attempt to solve: Simplifying 3f + -3fg + -5g = 0 Solving 3f + -3fg + -5g = 0 Move all terms containing f to the left, all other terms to the right. Add '5g' to each side of the equation. 3f + -3fg + -5g + 5g = 0 + 5g Combine like terms: -5g + 5g = 0 3f + -3fg + 0 = 0 + 5g 3f + -3fg = 0 + 5g Remove the zero: 3f + -3fg = 5g The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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