Solve x=-NDeltaPhi/Deltat

$$x=-N \frac{ \Delta \Phi }{ \Delta t }$$

Solve for N (complex solution)

$$\left\{\begin{matrix}N=-\frac{tx}{\Phi }\text{, }&\Phi \neq 0\text{ and }\Delta \neq 0\text{ and }t\neq 0\\N\in \mathrm{C}\text{, }&x=0\text{ and }\Phi =0\text{ and }t\neq 0\text{ and }\Delta \neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by t\Delta .

$$xt\Delta =\left(-N\right)\Delta \Phi$$

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

$$\left(-N\right)\Delta \Phi =xt\Delta$$

Reorder the terms.

$$-N\Delta \Phi =tx\Delta$$

The equation is in standard form.

$$\left(-\Delta \Phi \right)N=tx\Delta$$

Divide both sides by -\Delta \Phi .

$$\frac{\left(-\Delta \Phi \right)N}{-\Delta \Phi }=\frac{tx\Delta }{-\Delta \Phi }$$

Dividing by -\Delta \Phi undoes the multiplication by -\Delta \Phi .

$$N=\frac{tx\Delta }{-\Delta \Phi }$$

Divide tx\Delta by -\Delta \Phi .

$$N=-\frac{tx}{\Phi }$$

Solve for N

$$\left\{\begin{matrix}N=-\frac{tx}{\Phi }\text{, }&\Phi \neq 0\text{ and }\Delta \neq 0\text{ and }t\neq 0\\N\in \mathrm{R}\text{, }&x=0\text{ and }\Phi =0\text{ and }t\neq 0\text{ and }\Delta \neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by t\Delta .

$$xt\Delta =\left(-N\right)\Delta \Phi$$

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

$$\left(-N\right)\Delta \Phi =xt\Delta$$

Reorder the terms.

$$-N\Delta \Phi =tx\Delta$$

The equation is in standard form.

$$\left(-\Delta \Phi \right)N=tx\Delta$$

Divide both sides by -\Delta \Phi .

$$\frac{\left(-\Delta \Phi \right)N}{-\Delta \Phi }=\frac{tx\Delta }{-\Delta \Phi }$$

Dividing by -\Delta \Phi undoes the multiplication by -\Delta \Phi .

$$N=\frac{tx\Delta }{-\Delta \Phi }$$

Divide tx\Delta by -\Delta \Phi .

$$N=-\frac{tx}{\Phi }$$

Solve for t

$$\left\{\begin{matrix}t=-\frac{N\Phi }{x}\text{, }&\Phi \neq 0\text{ and }N\neq 0\text{ and }x\neq 0\text{ and }\Delta \neq 0\\t\neq 0\text{, }&\left(\Phi =0\text{ or }N=0\right)\text{ and }x=0\text{ and }\Delta \neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable t cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by t\Delta .

$$xt\Delta =\left(-N\right)\Delta \Phi$$

Reorder the terms.

$$tx\Delta =\left(-N\right)\Delta \Phi$$

Reorder the terms.

$$tx\Delta =-N\Delta \Phi$$

The equation is in standard form.

$$x\Delta t=-N\Delta \Phi$$

Divide both sides by x\Delta .

$$\frac{x\Delta t}{x\Delta }=-\frac{N\Delta \Phi }{x\Delta }$$

Dividing by x\Delta undoes the multiplication by x\Delta .

$$t=-\frac{N\Delta \Phi }{x\Delta }$$

Divide -N\Delta \Phi by x\Delta .

$$t=-\frac{N\Phi }{x}$$

Variable t cannot be equal to 0.

$$t=-\frac{N\Phi }{x}\text{, }t\neq 0$$