Solve 2(x^4)=x^2(x 1)

Evaluate

2 x^{4} = x^{2} (x \times 1)

Remove the parentheses

2 x^{4} = x^{2} \times x \times 1

Multiply the terms

More Steps

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

Move the expression to the left side

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

Factor the expression

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