Solve 19-2x 7x^296=180

Question

Solve the equation

x = - \frac{3 207}{12}

Alternative Form

x \approx - 0.492957

Evaluate

19 - 2 x \times 7 x^{2} \times 96 = 180

Multiply

More Steps

19 - 1344 x^{3} = 180

Move the constant to the right-hand side and change its sign

- 1344 x^{3} = 180 - 19

Subtract the numbers

- 1344 x^{3} = 161

Change the signs on both sides of the equation

1344 x^{3} = - 161

Divide both sides

\frac{1344 x ^{3}}{1344} = \frac{- 161}{1344}

Divide the numbers

x^{3} = \frac{- 161}{1344}

Divide the numbers

More Steps

x^{3} = - \frac{23}{192}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 - \frac{23}{192}

Calculate

x = 3 - \frac{23}{192}

Solution

More Steps

x = - \frac{3 207}{12}

Alternative Form

x \approx - 0.492957

Show Solution