Solve v-1/6v^2-1/3v^2=1/2v^2

$$\frac { v - 1 } { 6 v ^ { 2 } } - \frac { 1 } { 3 v ^ { 2 } } = \frac { 1 } { 2 v ^ { 2 } }$$

Solve for v

$$v=6$$

Steps for Solving Linear Equation

Variable v cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6v^{2}, the least common multiple of 6v^{2},3v^{2},2v^{2}.

$$v-1-2=3$$

Subtract 2 from -1 to get -3.

$$v-3=3$$

Add 3 to both sides.

$$v=3+3$$

Add 3 and 3 to get 6.

$$v=6$$