Solve 2v^3 - 35v^6 - 7v^3 - 3v^6

Question

Simplify the expression

- 5 v^{3} - 38 v^{6}

Show Solution

- v^{3} (5 + 38 v^{3})

Show Solution

v_{1} = - \frac{3 7220}{38}, v_{2} = 0

Alternative Form

v_{1} \approx - 0.508622, v_{2} = 0

Evaluate

2 v^{3} - 35 v^{6} - 7 v^{3} - 3 v^{6}

To find the roots of the expression,set the expression equal to 0

2 v^{3} - 35 v^{6} - 7 v^{3} - 3 v^{6} = 0

Subtract the terms

More Steps

- 5 v^{3} - 35 v^{6} - 3 v^{6} = 0

Subtract the terms

More Steps

- 5 v^{3} - 38 v^{6} = 0

Factor the expression

- v^{3} (5 + 38 v^{3}) = 0

Divide both sides

v^{3} (5 + 38 v^{3}) = 0

Separate the equation into 2 possible cases

v^{3} = 0 5 + 38 v^{3} = 0

The only way a power can be 0 is when the base equals 0

v = 0 5 + 38 v^{3} = 0

Solve the equation

More Steps

v = 0 v = - \frac{3 7220}{38}

Solution

v_{1} = - \frac{3 7220}{38}, v_{2} = 0

Alternative Form

v_{1} \approx - 0.508622, v_{2} = 0

Show Solution