Solve for X
X=\frac{45\left(x^{3}-8\right)}{x}
x\neq 0
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xX+45\times 8=45xx^{2}
Multiply both sides of the equation by 45x, the least common multiple of 45,x.
xX+360=45xx^{2}
Multiply 45 and 8 to get 360.
xX+360=45x^{3}
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.
xX=45x^{3}-360
Subtract 360 from both sides.
\frac{xX}{x}=\frac{45x^{3}-360}{x}
Divide both sides by x.
X=\frac{45x^{3}-360}{x}
Dividing by x undoes the multiplication by x.
X=45x^{2}-\frac{360}{x}
Divide 45x^{3}-360 by x.
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