Solve (6x^27x)2-11(6x^27x)-26

Question

Simplify the expression

- 378 x^{3} - 26

Show Solution

- 2 (189 x^{3} + 13)

Show Solution

x = - \frac{3 637}{21}

Alternative Form

x \approx - 0.409726

Evaluate

(6 x^{2} \times 7 x) \times 2 - 11 (6 x^{2} \times 7 x) - 26

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

(6 x^{2} \times 7 x) \times 2 - 11 (6 x^{2} \times 7 x) - 26 = 0

Multiply

More Steps

42 x^{3} \times 2 - 11 (6 x^{2} \times 7 x) - 26 = 0

Multiply

More Steps

42 x^{3} \times 2 - 11 \times 42 x^{3} - 26 = 0

Multiply the numbers

84 x^{3} - 11 \times 42 x^{3} - 26 = 0

Multiply the numbers

84 x^{3} - 462 x^{3} - 26 = 0

Subtract the terms

More Steps

- 378 x^{3} - 26 = 0

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

- 378 x^{3} = 0 + 26

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

- 378 x^{3} = 26

Change the signs on both sides of the equation

378 x^{3} = - 26

Divide both sides

\frac{378 x ^{3}}{378} = \frac{- 26}{378}

Divide the numbers

x^{3} = \frac{- 26}{378}

Divide the numbers

More Steps

x^{3} = - \frac{13}{189}

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

3 x^{3} = 3 - \frac{13}{189}

Calculate

x = 3 - \frac{13}{189}

Solution

More Steps

x = - \frac{3 637}{21}

Alternative Form

x \approx - 0.409726

Show Solution