Solve for x_0
x_{0}=\frac{3375}{x^{2}}
x\neq 0
Solve for x (complex solution)
x=-15\sqrt{15}x_{0}^{-0.5}
x=15\sqrt{15}x_{0}^{-0.5}\text{, }x_{0}\neq 0
Solve for x
x=15\sqrt{\frac{15}{x_{0}}}
x=-15\sqrt{\frac{15}{x_{0}}}\text{, }x_{0}>0
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2700=x^{2}x_{0}\times 0.8
Multiply x and x to get x^{2}.
x^{2}x_{0}\times 0.8=2700
Swap sides so that all variable terms are on the left hand side.
\frac{4x^{2}}{5}x_{0}=2700
The equation is in standard form.
\frac{5\times \frac{4x^{2}}{5}x_{0}}{4x^{2}}=\frac{5\times 2700}{4x^{2}}
Divide both sides by 0.8x^{2}.
x_{0}=\frac{5\times 2700}{4x^{2}}
Dividing by 0.8x^{2} undoes the multiplication by 0.8x^{2}.
x_{0}=\frac{3375}{x^{2}}
Divide 2700 by 0.8x^{2}.
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