Solve 0.01987=(xd^2/4)*1.5

$$0.01987 = ( \frac { x d ^ { 2 } } { 4 } ) \times 1.5$$

Solve for x

$$x=\frac{1987}{37500d^{2}}$$

$$d\neq 0$$

Steps for Solving Linear Equation

Divide both sides by 1.5.

$$\frac{0.01987}{1.5}=\frac{xd^{2}}{4}$$

Expand \frac{0.01987}{1.5} by multiplying both numerator and the denominator by 100000.

$$\frac{1987}{150000}=\frac{xd^{2}}{4}$$

Multiply both sides by 4.

$$\frac{1987}{150000}\times 4=xd^{2}$$

Multiply \frac{1987}{150000} and 4 to get \frac{1987}{37500}.

$$\frac{1987}{37500}=xd^{2}$$

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

$$xd^{2}=\frac{1987}{37500}$$

The equation is in standard form.

$$d^{2}x=\frac{1987}{37500}$$

Divide both sides by d^{2}.

$$\frac{d^{2}x}{d^{2}}=\frac{\frac{1987}{37500}}{d^{2}}$$

Dividing by d^{2} undoes the multiplication by d^{2}.

$$x=\frac{\frac{1987}{37500}}{d^{2}}$$

Divide \frac{1987}{37500} by d^{2}.

$$x=\frac{1987}{37500d^{2}}$$

Solve for d (complex solution)

$$d=-\frac{\sqrt{29805}x^{-0.5}}{750}$$

$$d=\frac{\sqrt{29805}x^{-0.5}}{750}\text{, }x\neq 0$$

Solve for d

$$d=\frac{\sqrt{\frac{29805}{x}}}{750}$$

$$d=-\frac{\sqrt{\frac{29805}{x}}}{750}\text{, }x>0$$