Solve 6w^2 -26w^5=w^2

Evaluate

6 w^{2} - 26 w^{5} = w^{2}

Move the expression to the left side

6 w^{2} - 26 w^{5} - w^{2} = 0

Subtract the terms

More Steps

5 w^{2} - 26 w^{5} = 0

Factor the expression

w^{2} (5 - 26 w^{3}) = 0

Separate the equation into 2 possible cases

w^{2} = 0 5 - 26 w^{3} = 0

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

w = 0 5 - 26 w^{3} = 0

Solve the equation

More Steps

w = 0 w = \frac{3 3380}{26}

Solution

w_{1} = 0, w_{2} = \frac{3 3380}{26}

Alternative Form

w_{1} = 0, w_{2} \approx 0.577208

Solve the equation