Solve 20000=10000*1,015^8+x*1,015^3

$$20000 = 10000 \cdot 1,015 ^ { 8 } + x \cdot 1,015 ^ { 3 }$$

Solve for x

$$x=-\frac{90119406927624555031249840}{8365427}\approx -1.077284004 \cdot 10^{19}$$

Steps for Solving Linear Equation

Calculate 1015 to the power of 8 and get 1126492586595306937890625.

$$20000=10000\times 1126492586595306937890625+x\times 1015^{3}$$

Multiply 10000 and 1126492586595306937890625 to get 11264925865953069378906250000.

$$20000=11264925865953069378906250000+x\times 1015^{3}$$

Calculate 1015 to the power of 3 and get 1045678375.

$$20000=11264925865953069378906250000+x\times 1045678375$$

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

$$11264925865953069378906250000+x\times 1045678375=20000$$

Subtract 11264925865953069378906250000 from both sides.

$$x\times 1045678375=20000-11264925865953069378906250000$$

Subtract 11264925865953069378906250000 from 20000 to get -11264925865953069378906230000.

$$x\times 1045678375=-11264925865953069378906230000$$

Divide both sides by 1045678375.

$$x=\frac{-11264925865953069378906230000}{1045678375}$$

Reduce the fraction \frac{-11264925865953069378906230000}{1045678375} to lowest terms by extracting and canceling out 125.

$$x=-\frac{90119406927624555031249840}{8365427}$$