Solve 6.67220x/4^2=40

$$6.672 \frac{ 20x }{ { 4 }^{ 2 } } = 40$$

Solve for x

$$x = \frac{2000}{417} = 4\frac{332}{417} \approx 4.79616307$$

Steps for Solving Linear Equation

Divide both sides by 6.672.

$$\frac{20x}{4^{2}}=\frac{40}{6.672}$$

Expand \frac{40}{6.672} by multiplying both numerator and the denominator by 1000.

$$\frac{20x}{4^{2}}=\frac{40000}{6672}$$

Reduce the fraction \frac{40000}{6672} to lowest terms by extracting and canceling out 16.

$$\frac{20x}{4^{2}}=\frac{2500}{417}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{20x}{16}=\frac{2500}{417}$$

Divide 20x by 16 to get \frac{5}{4}x.

$$\frac{5}{4}x=\frac{2500}{417}$$

Multiply both sides by \frac{4}{5}, the reciprocal of \frac{5}{4}.

$$x=\frac{2500}{417}\times \frac{4}{5}$$

Multiply \frac{2500}{417} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{2500\times 4}{417\times 5}$$

Do the multiplications in the fraction \frac{2500\times 4}{417\times 5}.

$$x=\frac{10000}{2085}$$

Reduce the fraction \frac{10000}{2085} to lowest terms by extracting and canceling out 5.

$$x=\frac{2000}{417}$$