Solve (2x^(4) 2x^(3)-x)-(-2(x 1))

Question

Simplify the expression

4 x^{7} + x

Show Solution

x (4 x^{6} + 1)

Show Solution

x_{1} = - \frac{6 432}{4} + \frac{3 4}{4} i, x_{2} = \frac{6 432}{4} - \frac{3 4}{4} i, x_{3} = 0

Alternative Form

x_{1} \approx - 0.687365 + 0.39685 i, x_{2} \approx 0.687365 - 0.39685 i, x_{3} = 0

Evaluate

(2 x^{4} \times 2 x^{3} - x) - (- 2 (x \times 1))

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

(2 x^{4} \times 2 x^{3} - x) - (- 2 (x \times 1)) = 0

Multiply

More Steps

(4 x^{7} - x) - (- 2 (x \times 1)) = 0

Remove the parentheses

4 x^{7} - x - (- 2 (x \times 1)) = 0

Any expression multiplied by 1 remains the same

4 x^{7} - x - (- 2 x) = 0

Subtract the terms

More Steps

4 x^{7} + x = 0

Factor the expression

x (4 x^{6} + 1) = 0

Separate the equation into 2 possible cases

x = 0 4 x^{6} + 1 = 0

Solve the equation

More Steps

x = 0 x = \frac{6 432}{4} - \frac{3 4}{4} i x = - \frac{6 432}{4} + \frac{3 4}{4} i

Solution

x_{1} = - \frac{6 432}{4} + \frac{3 4}{4} i, x_{2} = \frac{6 432}{4} - \frac{3 4}{4} i, x_{3} = 0

Alternative Form

x_{1} \approx - 0.687365 + 0.39685 i, x_{2} \approx 0.687365 - 0.39685 i, x_{3} = 0

Show Solution