Solve for x
x = \frac{4194000}{433} = 9685\frac{395}{433} \approx 9685.912240185
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\frac{10485-x}{x}=\frac{8.25}{100}
Divide both sides by 100.
\frac{10485-x}{x}=\frac{825}{10000}
Expand \frac{8.25}{100} by multiplying both numerator and the denominator by 100.
\frac{10485-x}{x}=\frac{33}{400}
Reduce the fraction \frac{825}{10000} to lowest terms by extracting and canceling out 25.
400\left(10485-x\right)=33x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 400x, the least common multiple of x,400.
4194000-400x=33x
Use the distributive property to multiply 400 by 10485-x.
4194000-400x-33x=0
Subtract 33x from both sides.
4194000-433x=0
Combine -400x and -33x to get -433x.
-433x=-4194000
Subtract 4194000 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-4194000}{-433}
Divide both sides by -433.
x=\frac{4194000}{433}
Fraction \frac{-4194000}{-433} can be simplified to \frac{4194000}{433} by removing the negative sign from both the numerator and the denominator.
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