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Simplifying 2def + 5gef + 4fed + -7deg + -5edf + 10egd = 0 Reorder the terms: 2def + 4def + -5def + -7deg + 10deg + 5efg = 0 Combine like terms: 2def + 4def = 6def 6def + -5def + -7deg + 10deg + 5efg = 0 Combine like terms: 6def + -5def = 1def 1def + -7deg + 10deg + 5efg = 0 Combine like terms: -7deg + 10deg = 3deg 1def + 3deg + 5efg = 0 Solving 1def + 3deg + 5efg = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5efg' to each side of the equation. 1def + 3deg + 5efg + -5efg = 0 + -5efg Combine like terms: 5efg + -5efg = 0 1def + 3deg + 0 = 0 + -5efg 1def + 3deg = 0 + -5efg Remove the zero: 1def + 3deg = -5efg Combine like terms: -5efg + 5efg = 0 1def + 3deg + 5efg = 0 Factor out the Greatest Common Factor (GCF), 'e'. e(df + 3dg + 5fg) = 0Subproblem 1
Set the factor 'e' equal to zero and attempt to solve: Simplifying e = 0 Solving e = 0 Move all terms containing d to the left, all other terms to the right. Add '-1e' to each side of the equation. e + -1e = 0 + -1e Remove the zero: 0 = -1e Simplifying 0 = -1e 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 '(df + 3dg + 5fg)' equal to zero and attempt to solve: Simplifying df + 3dg + 5fg = 0 Solving df + 3dg + 5fg = 0 Move all terms containing d to the left, all other terms to the right. Add '-5fg' to each side of the equation. df + 3dg + 5fg + -5fg = 0 + -5fg Combine like terms: 5fg + -5fg = 0 df + 3dg + 0 = 0 + -5fg df + 3dg = 0 + -5fg Remove the zero: df + 3dg = -5fg 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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