Solve 500=3.14*7.5^2*x/4

$$500=3.14 \times { 7.5 }^{ 2 } \times \frac{ x }{ 4 }$$

Solve for x

$$x = \frac{16000}{1413} = 11\frac{457}{1413} \approx 11.323425336$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$2000=3.14\times 7.5^{2}x$$

Calculate 7.5 to the power of 2 and get 56.25.

$$2000=3.14\times 56.25x$$

Multiply 3.14 and 56.25 to get 176.625.

$$2000=176.625x$$

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

$$176.625x=2000$$

Divide both sides by 176.625.

$$x=\frac{2000}{176.625}$$

Expand \frac{2000}{176.625} by multiplying both numerator and the denominator by 1000.

$$x=\frac{2000000}{176625}$$

Reduce the fraction \frac{2000000}{176625} to lowest terms by extracting and canceling out 125.

$$x=\frac{16000}{1413}$$