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Simplifying -2fg3(7fg + -12g2) = 0 (7fg * -2fg3 + -12g2 * -2fg3) = 0 Reorder the terms: (24fg5 + -14f2g4) = 0 (24fg5 + -14f2g4) = 0 Solving 24fg5 + -14f2g4 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '2fg4'. 2fg4(12g + -7f) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'fg4' equal to zero and attempt to solve: Simplifying fg4 = 0 Solving fg4 = 0 Move all terms containing f to the left, all other terms to the right. Simplifying fg4 = 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 '(12g + -7f)' equal to zero and attempt to solve: Simplifying 12g + -7f = 0 Reorder the terms: -7f + 12g = 0 Solving -7f + 12g = 0 Move all terms containing f to the left, all other terms to the right. Add '-12g' to each side of the equation. -7f + 12g + -12g = 0 + -12g Combine like terms: 12g + -12g = 0 -7f + 0 = 0 + -12g -7f = 0 + -12g Remove the zero: -7f = -12g Divide each side by '-7'. f = 1.714285714g Simplifying f = 1.714285714gSolution
f = {1.714285714g}
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