Solve (3x^4)/12 - (x 8)/20

Evaluate

\frac{3 x ^{4}}{12} - \frac{x \times 8}{20}

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

\frac{3 x ^{4}}{12} - \frac{x \times 8}{20} = 0

Use the commutative property to reorder the terms

\frac{3 x ^{4}}{12} - \frac{8 x}{20} = 0

Cancel out the common factor 3

\frac{x ^{4}}{4} - \frac{8 x}{20} = 0

Cancel out the common factor 4

\frac{x ^{4}}{4} - \frac{2 x}{5} = 0

Subtract the terms

More Steps

\frac{5 x ^{4} - 8 x}{20} = 0

Simplify

5 x^{4} - 8 x = 0

Factor the expression

x (5 x^{3} - 8) = 0

Separate the equation into 2 possible cases

x = 0 5 x^{3} - 8 = 0

Solve the equation

More Steps

x = 0 x = \frac{2 3 25}{5}

Solution

x_{1} = 0, x_{2} = \frac{2 3 25}{5}

Alternative Form

x_{1} = 0, x_{2} \approx 1.169607

Simplify the expression