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

Evaluate

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

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

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

Calculate

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

Calculate

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

Use the commutative property to reorder the terms

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

Multiply the terms

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

Calculate

More Steps

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

Factor the expression

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

Separate the equation into 2 possible cases

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

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

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

Solve the equation

More Steps

x = 0 x = \frac{3 + 17}{2} x = \frac{3 - 17}{2}

Solution

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

Alternative Form

x_{1} \approx - 0.561553, x_{2} = 0, x_{3} \approx 3.561553

Simplify the expression