Solve 2x(2x^3)=(2x^2)x

Evaluate

2 x \times 2 x^{3} = 2 x^{2} \times x

Multiply

More Steps

4 x^{4} = 2 x^{2} \times x

Multiply the terms

More Steps

4 x^{4} = 2 x^{3}

Add or subtract both sides

4 x^{4} - 2 x^{3} = 0

Factor the expression

2 x^{3} (2 x - 1) = 0

Divide both sides

x^{3} (2 x - 1) = 0

Separate the equation into 2 possible cases

x^{3} = 0 2 x - 1 = 0

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

x = 0 2 x - 1 = 0

Solve the equation

More Steps

x = 0 x = \frac{1}{2}

Solution

x_{1} = 0, x_{2} = \frac{1}{2}

Alternative Form

x_{1} = 0, x_{2} = 0.5

Solve the equation