Solve 289*16=x(17div6)*(17div6)

$$289 \times 16=x(17 \div 6) \times (17 \div 6)$$

Solve for x

$$x=576$$

Steps for Solving Linear Equation

Multiply 289 and 16 to get 4624.

$$4624=x\times \frac{17}{6}\times \frac{17}{6}$$

Multiply \frac{17}{6} times \frac{17}{6} by multiplying numerator times numerator and denominator times denominator.

$$4624=x\times \frac{17\times 17}{6\times 6}$$

Do the multiplications in the fraction \frac{17\times 17}{6\times 6}.

$$4624=x\times \frac{289}{36}$$

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

$$x\times \frac{289}{36}=4624$$

Multiply both sides by \frac{36}{289}, the reciprocal of \frac{289}{36}.

$$x=4624\times \frac{36}{289}$$

Express 4624\times \frac{36}{289} as a single fraction.

$$x=\frac{4624\times 36}{289}$$

Multiply 4624 and 36 to get 166464.

$$x=\frac{166464}{289}$$

Divide 166464 by 289 to get 576.

$$x=576$$