Solve (3x^2-6x^4) - (5x^2 2x 1)

Question

Simplify the expression

3 x^{2} - 6 x^{4} - 10 x^{3}

Show Solution

x^{2} (3 - 6 x^{2} - 10 x)

Show Solution

x_{1} = - \frac{5 + 43}{6}, x_{2} = 0, x_{3} = \frac{- 5 + 43}{6}

Alternative Form

x_{1} \approx - 1.92624, x_{2} = 0, x_{3} \approx 0.259573

Evaluate

(3 x^{2} - 6 x^{4}) - (5 x^{2} \times 2 x \times 1)

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

(3 x^{2} - 6 x^{4}) - (5 x^{2} \times 2 x \times 1) = 0

Remove the parentheses

3 x^{2} - 6 x^{4} - (5 x^{2} \times 2 x \times 1) = 0

Multiply the terms

More Steps

3 x^{2} - 6 x^{4} - 10 x^{3} = 0

Factor the expression

x^{2} (3 - 6 x^{2} - 10 x) = 0

Separate the equation into 2 possible cases

x^{2} = 0 3 - 6 x^{2} - 10 x = 0

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

x = 0 3 - 6 x^{2} - 10 x = 0

Solve the equation

More Steps

x = 0 x = \frac{- 5 + 43}{6} x = - \frac{5 + 43}{6}

Solution

x_{1} = - \frac{5 + 43}{6}, x_{2} = 0, x_{3} = \frac{- 5 + 43}{6}

Alternative Form

x_{1} \approx - 1.92624, x_{2} = 0, x_{3} \approx 0.259573

Show Solution