Solve 16x^3 - 20x^2 28x -35

Question

Simplify the expression

- 544 x^{3} - 35

Show Solution

x = - \frac{3 20230}{68}

Alternative Form

x \approx - 0.400703

Evaluate

16 x^{3} - 20 x^{2} \times 28 x - 35

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

16 x^{3} - 20 x^{2} \times 28 x - 35 = 0

Multiply

More Steps

16 x^{3} - 560 x^{3} - 35 = 0

Subtract the terms

More Steps

- 544 x^{3} - 35 = 0

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

- 544 x^{3} = 0 + 35

Removing 0 doesn't change the value,so remove it from the expression

- 544 x^{3} = 35

Change the signs on both sides of the equation

544 x^{3} = - 35

Divide both sides

\frac{544 x ^{3}}{544} = \frac{- 35}{544}

Divide the numbers

x^{3} = \frac{- 35}{544}

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

x^{3} = - \frac{35}{544}

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

3 x^{3} = 3 - \frac{35}{544}

Calculate

x = 3 - \frac{35}{544}

Solution

More Steps

x = - \frac{3 20230}{68}

Alternative Form

x \approx - 0.400703

Show Solution