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Solve for x (complex solution)
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Solve for y (complex solution)
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Solve for x
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Solve for y
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y^{2}x^{2}-4x^{2}\times 1=0
Expand \left(yx\right)^{2}.
y^{2}x^{2}-4x^{2}=0
Multiply 4 and 1 to get 4.
\left(y^{2}-4\right)x^{2}=0
Combine all terms containing x.
x^{2}=\frac{0}{y^{2}-4}
Dividing by y^{2}-4 undoes the multiplication by y^{2}-4.
x^{2}=0
Divide 0 by y^{2}-4.
x=0 x=0
Take the square root of both sides of the equation.
x=0
The equation is now solved. Solutions are the same.
y^{2}x^{2}-4x^{2}\times 1=0
Expand \left(yx\right)^{2}.
y^{2}x^{2}-4x^{2}=0
Multiply 4 and 1 to get 4.
\left(y^{2}-4\right)x^{2}=0
Combine all terms containing x.
x=\frac{0±\sqrt{0^{2}}}{2\left(y^{2}-4\right)}
This equation is in standard form: ax^{2}+bx+c=0. Substitute y^{2}-4 for a, 0 for b, and 0 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±0}{2\left(y^{2}-4\right)}
Take the square root of 0^{2}.
x=\frac{0}{2y^{2}-8}
Multiply 2 times y^{2}-4.
x=0
Divide 0 by 2y^{2}-8.