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Simplifying 6f2g + -10f2g = 1 Combine like terms: 6f2g + -10f2g = -4f2g -4f2g = 1 Solving -4f2g = 1 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by '-4g'. f2 = -0.25g-1 Simplifying f2 = -0.25g-1 Combine like terms: -0.25g-1 + 0.25g-1 = 0.00 f2 + 0.25g-1 = 0.00 Factor out the Greatest Common Factor (GCF), 'g-1'. g-1(f2g + 0.25) = 0.00Subproblem 1
Set the factor 'g-1' equal to zero and attempt to solve: Simplifying g-1 = 0 Solving g-1 = 0 Move all terms containing f to the left, all other terms to the right. Add '-1g-1' to each side of the equation. g-1 + -1g-1 = 0 + -1g-1 Remove the zero: 0 = -1g-1 Simplifying 0 = -1g-1 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 '(f2g + 0.25)' equal to zero and attempt to solve: Simplifying f2g + 0.25 = 0 Reorder the terms: 0.25 + f2g = 0 Solving 0.25 + f2g = 0 Move all terms containing f to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + f2g = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + f2g = 0 + -0.25 f2g = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 f2g = -0.25 Divide each side by 'g'. f2 = -0.25g-1 Simplifying f2 = -0.25g-1 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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