Solve 360d/9%=28/x^2

$$\frac { 360 d } { 9 \% } = \frac { 28 } { x ^ { 2 } }$$

Solve for d

$$d=\frac{7}{1000x^{2}}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x^{2}.

$$x^{2}\times \frac{360d}{\frac{9}{100}}=28$$

Divide 360d by \frac{9}{100} to get 4000d.

$$x^{2}\times 4000d=28$$

The equation is in standard form.

$$4000x^{2}d=28$$

Divide both sides by 4000x^{2}.

$$\frac{4000x^{2}d}{4000x^{2}}=\frac{28}{4000x^{2}}$$

Dividing by 4000x^{2} undoes the multiplication by 4000x^{2}.

$$d=\frac{28}{4000x^{2}}$$

Divide 28 by 4000x^{2}.

$$d=\frac{7}{1000x^{2}}$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{70}d^{-\frac{1}{2}}}{100}$$

$$x=\frac{\sqrt{70}d^{-\frac{1}{2}}}{100}\text{, }d\neq 0$$

Solve for x

$$x=\frac{\sqrt{\frac{70}{d}}}{100}$$

$$x=-\frac{\sqrt{\frac{70}{d}}}{100}\text{, }d>0$$