Solve (x^2-4x^3)/-3x^6

Evaluate

\frac{x ^{2} - 4 x ^{3}}{- 3} \times x^{6}

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

\frac{x ^{2} - 4 x ^{3}}{- 3} \times x^{6} = 0

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{x ^{2} - 4 x ^{3}}{3} \times x^{6} = 0

Multiply the terms

More Steps

- \frac{x ^{6} ( x ^{2} - 4 x ^{3} )}{3} = 0

Simplify

- x^{6} (x^{2} - 4 x^{3}) = 0

Change the sign

x^{6} (x^{2} - 4 x^{3}) = 0

Separate the equation into 2 possible cases

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

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

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

Solve the equation

More Steps

x = 0 x = 0 x = \frac{1}{4}

Find the union

x = 0 x = \frac{1}{4}

Solution

x_{1} = 0, x_{2} = \frac{1}{4}

Alternative Form

x_{1} = 0, x_{2} = 0.25

Simplify the expression