Solve left(1.05^4+1.05^3+1.05^2+1.05+1.05^5right)x=5

$$\left( { 1.05 }^{ 4 } + { 1.05 }^{ 3 } + { 1.05 }^{ 2 } +1.05+ { 1.05 }^{ 5 } \right) x = 5$$

Solve for x

$$x=\frac{16000000}{18566121}\approx 0.861784753$$

Steps for Solving Linear Equation

Calculate 1.05 to the power of 4 and get 1.21550625.

$$\left(1.21550625+1.05^{3}+1.05^{2}+1.05+1.05^{5}\right)x=5$$

Calculate 1.05 to the power of 3 and get 1.157625.

$$\left(1.21550625+1.157625+1.05^{2}+1.05+1.05^{5}\right)x=5$$

Add 1.21550625 and 1.157625 to get 2.37313125.

$$\left(2.37313125+1.05^{2}+1.05+1.05^{5}\right)x=5$$

Calculate 1.05 to the power of 2 and get 1.1025.

$$\left(2.37313125+1.1025+1.05+1.05^{5}\right)x=5$$

Add 2.37313125 and 1.1025 to get 3.47563125.

$$\left(3.47563125+1.05+1.05^{5}\right)x=5$$

Add 3.47563125 and 1.05 to get 4.52563125.

$$\left(4.52563125+1.05^{5}\right)x=5$$

Calculate 1.05 to the power of 5 and get 1.2762815625.

$$\left(4.52563125+1.2762815625\right)x=5$$

Add 4.52563125 and 1.2762815625 to get 5.8019128125.

$$5.8019128125x=5$$

Divide both sides by 5.8019128125.

$$x=\frac{5}{5.8019128125}$$

Expand \frac{5}{5.8019128125} by multiplying both numerator and the denominator by 10000000000.

$$x=\frac{50000000000}{58019128125}$$

Reduce the fraction \frac{50000000000}{58019128125} to lowest terms by extracting and canceling out 3125.

$$x=\frac{16000000}{18566121}$$