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Simplifying 5gf2 + g2f + 15gf = 0 Reorder the terms: 15fg + fg2 + 5f2g = 0 Solving 15fg + fg2 + 5f2g = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), 'fg'. fg(15 + g + 5f) = 0Subproblem 1
Set the factor 'fg' equal to zero and attempt to solve: Simplifying fg = 0 Solving fg = 0 Move all terms containing f to the left, all other terms to the right. Simplifying fg = 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 '(15 + g + 5f)' equal to zero and attempt to solve: Simplifying 15 + g + 5f = 0 Reorder the terms: 15 + 5f + g = 0 Solving 15 + 5f + g = 0 Move all terms containing f to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 5f + -15 + g = 0 + -15 Reorder the terms: 15 + -15 + 5f + g = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 5f + g = 0 + -15 5f + g = 0 + -15 Combine like terms: 0 + -15 = -15 5f + g = -15 Add '-1g' to each side of the equation. 5f + g + -1g = -15 + -1g Combine like terms: g + -1g = 0 5f + 0 = -15 + -1g 5f = -15 + -1g Divide each side by '5'. f = -3 + -0.2g Simplifying f = -3 + -0.2gSolution
f = {-3 + -0.2g}
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