Solve (x^2*6) (x^2-x-4)

Evaluate

(x^{2} \times 6) (x^{2} - x - 4)

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

(x^{2} \times 6) (x^{2} - x - 4) = 0

Use the commutative property to reorder the terms

6 x^{2} (x^{2} - x - 4) = 0

Elimination the left coefficient

x^{2} (x^{2} - x - 4) = 0

Separate the equation into 2 possible cases

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

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

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

Solve the equation

More Steps

x = 0 x = \frac{1 + 17}{2} x = \frac{1 - 17}{2}

Solution

x_{1} = \frac{1 - 17}{2}, x_{2} = 0, x_{3} = \frac{1 + 17}{2}

Alternative Form

x_{1} \approx - 1.561553, x_{2} = 0, x_{3} \approx 2.561553

Simplify the expression