Solve t^3=2-psi/14varphi

$$t ^ { 3 } = \frac { 2 - \psi } { 14 \varphi }$$

Solve for φ

$$\left\{\begin{matrix}\phi =-\frac{\psi -2}{14t^{3}}\text{, }&\psi \neq 2\text{ and }t\neq 0\\\phi \neq 0\text{, }&t=0\text{ and }\psi =2\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable \phi cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 14\phi .

$$14\phi t^{3}=2-\psi$$

Reorder the terms.

$$14\phi t^{3}=-\psi +2$$

The equation is in standard form.

$$14t^{3}\phi =2-\psi$$

Divide both sides by 14t^{3}.

$$\frac{14t^{3}\phi }{14t^{3}}=\frac{2-\psi }{14t^{3}}$$

Dividing by 14t^{3} undoes the multiplication by 14t^{3}.

$$\phi =\frac{2-\psi }{14t^{3}}$$

Variable \phi cannot be equal to 0.

$$\phi =\frac{2-\psi }{14t^{3}}\text{, }\phi \neq 0$$

Solve for t

$$t=-\frac{14^{\frac{2}{3}}\sqrt[3]{\frac{\psi -2}{\phi }}}{14}$$

$$\phi \neq 0$$