Solve 70%x+6^2/7=90*sqrt{10}

$$70 \% x+ \frac{ { 6 }^{ 2 } }{ 7 } =90 \times \sqrt{ 10 }$$

Solve for x

$$x=\frac{900\sqrt{10}}{7}-\frac{360}{49}\approx 399.231617532$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 700, the least common multiple of 100,7.

$$490x+100\times 6^{2}=63000\sqrt{10}$$

Calculate 6 to the power of 2 and get 36.

$$490x+100\times 36=63000\sqrt{10}$$

Multiply 100 and 36 to get 3600.

$$490x+3600=63000\sqrt{10}$$

Subtract 3600 from both sides.

$$490x=63000\sqrt{10}-3600$$

Divide both sides by 490.

$$\frac{490x}{490}=\frac{63000\sqrt{10}-3600}{490}$$

Dividing by 490 undoes the multiplication by 490.

$$x=\frac{63000\sqrt{10}-3600}{490}$$

Divide 63000\sqrt{10}-3600 by 490.

$$x=\frac{900\sqrt{10}}{7}-\frac{360}{49}$$