Solve 2420/x=1/318{left(11/1right)}^2

$$\frac{ 2420 }{ x } = \frac{ 1 }{ 318 } { \left( \frac{ 11 }{ 1 } \right) }^{ 2 }$$

Solve for x

$$x=6360$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 318x, the least common multiple of x,318.

$$318\times 2420=\frac{1}{318}\times \left(\frac{11}{1}\right)^{2}\times 318x$$

Multiply 318 and 2420 to get 769560.

$$769560=\frac{1}{318}\times \left(\frac{11}{1}\right)^{2}\times 318x$$

Anything divided by one gives itself.

$$769560=\frac{1}{318}\times 11^{2}\times 318x$$

Calculate 11 to the power of 2 and get 121.

$$769560=\frac{1}{318}\times 121\times 318x$$

Multiply \frac{1}{318} and 121 to get \frac{121}{318}.

$$769560=\frac{121}{318}\times 318x$$

Multiply \frac{121}{318} and 318 to get 121.

$$769560=121x$$

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

$$121x=769560$$

Divide both sides by 121.

$$x=\frac{769560}{121}$$

Divide 769560 by 121 to get 6360.

$$x=6360$$