Solve 500=3.14*6.5^2*x/4

$$500 = 3.14 \times { 6.5 }^{ 2 } \times \frac{ x }{ 4 }$$

Solve for x

$$x = \frac{400000}{26533} = 15\frac{2005}{26533} \approx 15.075566276$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$2000=3.14\times 6.5^{2}x$$

Calculate 6.5 to the power of 2 and get 42.25.

$$2000=3.14\times 42.25x$$

Multiply 3.14 and 42.25 to get 132.665.

$$2000=132.665x$$

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

$$132.665x=2000$$

Divide both sides by 132.665.

$$x=\frac{2000}{132.665}$$

Expand \frac{2000}{132.665} by multiplying both numerator and the denominator by 1000.

$$x=\frac{2000000}{132665}$$

Reduce the fraction \frac{2000000}{132665} to lowest terms by extracting and canceling out 5.

$$x=\frac{400000}{26533}$$