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Simplifying fx + -1gx = hforx Solving fx + -1gx = fhorx Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1fhorx' to each side of the equation. fx + -1fhorx + -1gx = fhorx + -1fhorx Reorder the terms: -1fhorx + fx + -1gx = fhorx + -1fhorx Combine like terms: fhorx + -1fhorx = 0 -1fhorx + fx + -1gx = 0 Add 'gx' to each side of the equation. -1fhorx + fx + -1gx + gx = 0 + gx Combine like terms: -1gx + gx = 0 -1fhorx + fx + 0 = 0 + gx -1fhorx + fx = 0 + gx Remove the zero: -1fhorx + fx = gx Combine like terms: gx + -1gx = 0 -1fhorx + fx + -1gx = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1fhor + f + -1g) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing f to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(-1fhor + f + -1g)' equal to zero and attempt to solve: Simplifying -1fhor + f + -1g = 0 Reorder the terms: f + -1fhor + -1g = 0 Solving f + -1fhor + -1g = 0 Move all terms containing f to the left, all other terms to the right. Add 'g' to each side of the equation. f + -1fhor + -1g + g = 0 + g Combine like terms: -1g + g = 0 f + -1fhor + 0 = 0 + g f + -1fhor = 0 + g Remove the zero: f + -1fhor = g 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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