Solve for x
x=-\frac{1}{4}-\frac{3}{4}i=-0.25-0.75i
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4x-3+4+3i=0
Combine the real and imaginary parts in -3+4+3i.
4x+1+3i=0
Add -3 to 4.
4x+3i=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
4x=-1-3i
Subtract 3i from both sides.
x=\frac{-1-3i}{4}
Divide both sides by 4.
x=-\frac{1}{4}-\frac{3}{4}i
Divide -1-3i by 4 to get -\frac{1}{4}-\frac{3}{4}i.
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