Solve 20000=10000*1.015^8+x*1.015^3

$$20000 = 10000 \cdot 1.015 ^ { 8 } + x \cdot 1.015 ^ { 3 }$$

Solve for x

$$x = \frac{2236178978316014239}{267693664000000} = 8353\frac{133802924014336}{267693664000000} \approx 8353.499835977$$

Steps for Solving Linear Equation

Calculate 1.015 to the power of 8 and get 1.126492586595306937890625.

$$20000=10000\times 1.126492586595306937890625+x\times 1.015^{3}$$

Multiply 10000 and 1.126492586595306937890625 to get 11264.92586595306937890625.

$$20000=11264.92586595306937890625+x\times 1.015^{3}$$

Calculate 1.015 to the power of 3 and get 1.045678375.

$$20000=11264.92586595306937890625+x\times 1.045678375$$

Swap sides so that all variable terms are on the left hand side.

$$11264.92586595306937890625+x\times 1.045678375=20000$$

Subtract 11264.92586595306937890625 from both sides.

$$x\times 1.045678375=20000-11264.92586595306937890625$$

Subtract 11264.92586595306937890625 from 20000 to get 8735.07413404693062109375.

$$x\times 1.045678375=8735.07413404693062109375$$

Divide both sides by 1.045678375.

$$x=\frac{8735.07413404693062109375}{1.045678375}$$

Expand \frac{8735.07413404693062109375}{1.045678375} by multiplying both numerator and the denominator by 100000000000000000000.

$$x=\frac{873507413404693062109375}{104567837500000000000}$$

Reduce the fraction \frac{873507413404693062109375}{104567837500000000000} to lowest terms by extracting and canceling out 390625.

$$x=\frac{2236178978316014239}{267693664000000}$$