Solve for x_0
x_{0}=\frac{675}{2x^{2}}
x\neq 0
Solve for x (complex solution)
x=-\frac{15\sqrt{6}x_{0}^{-\frac{1}{2}}}{2}
x=\frac{15\sqrt{6}x_{0}^{-\frac{1}{2}}}{2}\text{, }x_{0}\neq 0
Solve for x
x=\frac{15\sqrt{\frac{6}{x_{0}}}}{2}
x=-\frac{15\sqrt{\frac{6}{x_{0}}}}{2}\text{, }x_{0}>0
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2700=x^{2}x_{0}\times 8
Multiply x and x to get x^{2}.
x^{2}x_{0}\times 8=2700
Swap sides so that all variable terms are on the left hand side.
8x^{2}x_{0}=2700
The equation is in standard form.
\frac{8x^{2}x_{0}}{8x^{2}}=\frac{2700}{8x^{2}}
Divide both sides by 8x^{2}.
x_{0}=\frac{2700}{8x^{2}}
Dividing by 8x^{2} undoes the multiplication by 8x^{2}.
x_{0}=\frac{675}{2x^{2}}
Divide 2700 by 8x^{2}.
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