Solve (x+20m)2+4x+260kn=960m

$$( x + 20 m ) 2 + 4 x + 260 k n = 960 m$$

Solve for k (complex solution)

$$\left\{\begin{matrix}k=-\frac{3x-460m}{130n}\text{, }&n\neq 0\\k\in \mathrm{C}\text{, }&x=\frac{460m}{3}\text{ and }n=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+20m by 2.

$$2x+40m+4x+260kn=960m$$

Combine 2x and 4x to get 6x.

$$6x+40m+260kn=960m$$

Subtract 6x from both sides.

$$40m+260kn=960m-6x$$

Subtract 40m from both sides.

$$260kn=960m-6x-40m$$

Combine 960m and -40m to get 920m.

$$260kn=920m-6x$$

The equation is in standard form.

$$260nk=920m-6x$$

Divide both sides by 260n.

$$\frac{260nk}{260n}=\frac{920m-6x}{260n}$$

Dividing by 260n undoes the multiplication by 260n.

$$k=\frac{920m-6x}{260n}$$

Divide -6x+920m by 260n.

$$k=\frac{460m-3x}{130n}$$

Solve for k

$$\left\{\begin{matrix}k=-\frac{3x-460m}{130n}\text{, }&n\neq 0\\k\in \mathrm{R}\text{, }&x=\frac{460m}{3}\text{ and }n=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+20m by 2.

$$2x+40m+4x+260kn=960m$$

Combine 2x and 4x to get 6x.

$$6x+40m+260kn=960m$$

Subtract 6x from both sides.

$$40m+260kn=960m-6x$$

Subtract 40m from both sides.

$$260kn=960m-6x-40m$$

Combine 960m and -40m to get 920m.

$$260kn=920m-6x$$

The equation is in standard form.

$$260nk=920m-6x$$

Divide both sides by 260n.

$$\frac{260nk}{260n}=\frac{920m-6x}{260n}$$

Dividing by 260n undoes the multiplication by 260n.

$$k=\frac{920m-6x}{260n}$$

Divide 920m-6x by 260n.

$$k=\frac{460m-3x}{130n}$$

Solve for m

$$m=\frac{13kn}{46}+\frac{3x}{460}$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+20m by 2.

$$2x+40m+4x+260kn=960m$$

Combine 2x and 4x to get 6x.

$$6x+40m+260kn=960m$$

Subtract 960m from both sides.

$$6x+40m+260kn-960m=0$$

Combine 40m and -960m to get -920m.

$$6x-920m+260kn=0$$

Subtract 6x from both sides. Anything subtracted from zero gives its negation.

$$-920m+260kn=-6x$$

Subtract 260kn from both sides.

$$-920m=-6x-260kn$$

Divide both sides by -920.

$$\frac{-920m}{-920}=\frac{-6x-260kn}{-920}$$

Dividing by -920 undoes the multiplication by -920.

$$m=\frac{-6x-260kn}{-920}$$

Divide -6x-260kn by -920.

$$m=\frac{13kn}{46}+\frac{3x}{460}$$