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