Solve for x (complex solution)
x=-\frac{1}{4}i=-0.25i
x=\frac{1}{4}i=0.25i
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4^{2}x^{2}+1=0
Expand \left(4x\right)^{2}.
16x^{2}+1=0
Calculate 4 to the power of 2 and get 16.
16x^{2}=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
x^{2}=-\frac{1}{16}
Divide both sides by 16.
x=\frac{1}{4}i x=-\frac{1}{4}i
The equation is now solved.
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