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Solve for a (complex solution)
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3=a\sqrt{5}-2a-\sqrt{5}a+2a+3
Use the distributive property to multiply a by \sqrt{5}-2.
3=-2a+2a+3
Combine a\sqrt{5} and -\sqrt{5}a to get 0.
3=3
Combine -2a and 2a to get 0.
\text{true}
Compare 3 and 3.
a\in \mathrm{C}
This is true for any a.
3=a\sqrt{5}-2a-\sqrt{5}a+2a+3
Use the distributive property to multiply a by \sqrt{5}-2.
3=-2a+2a+3
Combine a\sqrt{5} and -\sqrt{5}a to get 0.
3=3
Combine -2a and 2a to get 0.
\text{true}
Compare 3 and 3.
a\in \mathrm{R}
This is true for any a.