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Solve for F (complex solution)
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Solve for g (complex solution)
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Solve for F
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Solve for g
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Fx+gx=Fx+gx
Use the distributive property to multiply F+g by x.
Fx+gx-Fx=gx
Subtract Fx from both sides.
gx=gx
Combine Fx and -Fx to get 0.
\text{true}
Reorder the terms.
F\in \mathrm{C}
This is true for any F.
Fx+gx=Fx+gx
Use the distributive property to multiply F+g by x.
Fx+gx-gx=Fx
Subtract gx from both sides.
Fx=Fx
Combine gx and -gx to get 0.
\text{true}
Reorder the terms.
g\in \mathrm{C}
This is true for any g.
Fx+gx=Fx+gx
Use the distributive property to multiply F+g by x.
Fx+gx-Fx=gx
Subtract Fx from both sides.
gx=gx
Combine Fx and -Fx to get 0.
\text{true}
Reorder the terms.
F\in \mathrm{R}
This is true for any F.
Fx+gx=Fx+gx
Use the distributive property to multiply F+g by x.
Fx+gx-gx=Fx
Subtract gx from both sides.
Fx=Fx
Combine gx and -gx to get 0.
\text{true}
Reorder the terms.
g\in \mathrm{R}
This is true for any g.