Solve w(2w 1)=(2w^2(2w 1)) 5

Evaluate

w (2 w \times 1) = (2 w^{2} (2 w \times 1)) \times 5

Remove the parentheses

w \times 2 w \times 1 = 2 w^{2} \times 2 w \times 1 \times 5

Simplify

w \times w \times 1 = 2 w^{2} \times w \times 1 \times 5

Simplify

w \times w = 2 w^{2} \times w \times 5

Multiply the terms

w^{2} = 2 w^{2} \times w \times 5

Multiply

More Steps

w^{2} = 10 w^{3}

Move the expression to the left side

w^{2} - 10 w^{3} = 0

Factor the expression

w^{2} (1 - 10 w) = 0

Separate the equation into 2 possible cases

w^{2} = 0 1 - 10 w = 0

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

w = 0 1 - 10 w = 0

Solve the equation

More Steps

w = 0 w = \frac{1}{10}

Solution

w_{1} = 0, w_{2} = \frac{1}{10}

Alternative Form

w_{1} = 0, w_{2} = 0.1

Solve the equation