Solve v13=v12-v^23

Evaluate

v \times 13 = v \times 12 - v^{2} \times 3

Use the commutative property to reorder the terms

13 v = v \times 12 - v^{2} \times 3

Simplify

More Steps

13 v = 12 v - 3 v^{2}

Swap the sides

12 v - 3 v^{2} = 13 v

Move the expression to the left side

- v - 3 v^{2} = 0

Factor the expression

More Steps

- v (1 + 3 v) = 0

When the product of factors equals 0,at least one factor is 0

- v = 0 1 + 3 v = 0

Solve the equation for v

v = 0 1 + 3 v = 0

Solve the equation for v

More Steps

v = 0 v = - \frac{1}{3}

Solution

v_{1} = - \frac{1}{3}, v_{2} = 0

Alternative Form

v_{1} = - 0. \dot{3}, v_{2} = 0

Solve the quadratic equation