Solve 4x^5(-104x/3) = -2

Evaluate

4 x^{5} (- (104 \times \frac{x}{3})) = - 2

Simplify

More Steps

- \frac{416 x ^{6}}{3} = - 2

Rewrite the expression

\frac{- 416 x ^{6}}{3} = - 2

Cross multiply

- 416 x^{6} = 3 (- 2)

Simplify the equation

- 416 x^{6} = - 6

Change the signs on both sides of the equation

416 x^{6} = 6

Divide both sides

\frac{416 x ^{6}}{416} = \frac{6}{416}

Divide the numbers

x^{6} = \frac{6}{416}

Cancel out the common factor 2

x^{6} = \frac{3}{208}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 6 \frac{3}{208}

Simplify the expression

More Steps

x = \pm \frac{6 3 \times 20 8 ^{5}}{208}

Separate the equation into 2 possible cases

x = \frac{6 3 \times 20 8 ^{5}}{208} x = - \frac{6 3 \times 20 8 ^{5}}{208}

Solution

x_{1} = - \frac{6 3 \times 20 8 ^{5}}{208}, x_{2} = \frac{6 3 \times 20 8 ^{5}}{208}

Alternative Form

x_{1} \approx - 0.493374, x_{2} \approx 0.493374

Solve the equation