Solve x=sqrt{0,082}dam^2+4*10^-6km^2+3500cm^2

$$x = \sqrt { 0,082 } d a m ^ { 2 } + 4 \cdot 10 ^ { - 6 } k m ^ { 2 } + 3500 cm ^ { 2 }$$

Solve for a

$$\left\{\begin{matrix}a=-\frac{\sqrt{205}\left(875000000cm^{2}+km^{2}-250000x\right)}{1025000dm^{2}}\text{, }&d\neq 0\text{ and }m\neq 0\\a\in \mathrm{R}\text{, }&\left(x=0\text{ and }m=0\right)\text{ or }\left(x=\frac{\left(k+875000000c\right)m^{2}}{250000}\text{ and }d=0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$x=\sqrt{0,082}dam^{2}+4\times \frac{1}{1000000}km^{2}+3500cm^{2}$$

Multiply 4 and \frac{1}{1000000} to get \frac{1}{250000}.

$$x=\sqrt{0,082}dam^{2}+\frac{1}{250000}km^{2}+3500cm^{2}$$

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

$$\sqrt{0,082}dam^{2}+\frac{1}{250000}km^{2}+3500cm^{2}=x$$

Subtract \frac{1}{250000}km^{2} from both sides.

$$\sqrt{0,082}dam^{2}+3500cm^{2}=x-\frac{1}{250000}km^{2}$$

Subtract 3500cm^{2} from both sides.

$$\sqrt{0,082}dam^{2}=x-\frac{1}{250000}km^{2}-3500cm^{2}$$

The equation is in standard form.

$$\sqrt{0,082}dm^{2}a=-\frac{km^{2}}{250000}-3500cm^{2}+x$$

Divide both sides by \sqrt{0,082}dm^{2}.

$$\frac{\sqrt{0,082}dm^{2}a}{\sqrt{0,082}dm^{2}}=\frac{-\frac{km^{2}}{250000}-3500cm^{2}+x}{\sqrt{0,082}dm^{2}}$$

Dividing by \sqrt{0,082}dm^{2} undoes the multiplication by \sqrt{0,082}dm^{2}.

$$a=\frac{-\frac{km^{2}}{250000}-3500cm^{2}+x}{\sqrt{0,082}dm^{2}}$$

Divide x-\frac{km^{2}}{250000}-3500cm^{2} by \sqrt{0,082}dm^{2}.

$$a=\frac{\sqrt{205}\left(250000x-km^{2}-875000000cm^{2}\right)}{1025000dm^{2}}$$