Solve (28/3)^2=35/3x

$$( \frac { 28 } { 3 } ) ^ { 2 } = \frac { 35 } { 3 } x$$

Solve for x

$$x = \frac{112}{15} = 7\frac{7}{15} \approx 7.466666667$$

Steps for Solving Linear Equation

Calculate \frac{28}{3} to the power of 2 and get \frac{784}{9}.

$$\frac{784}{9}=\frac{35}{3}x$$

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

$$\frac{35}{3}x=\frac{784}{9}$$

Multiply both sides by \frac{3}{35}, the reciprocal of \frac{35}{3}.

$$x=\frac{784}{9}\times \frac{3}{35}$$

Multiply \frac{784}{9} times \frac{3}{35} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{784\times 3}{9\times 35}$$

Do the multiplications in the fraction \frac{784\times 3}{9\times 35}.

$$x=\frac{2352}{315}$$

Reduce the fraction \frac{2352}{315} to lowest terms by extracting and canceling out 21.

$$x=\frac{112}{15}$$