Solve (9x^211x) 2 -12(9x^211x)-28

Question

Simplify the expression

- 990 x^{3} - 28

Show Solution

- 2 (495 x^{3} + 14)

Show Solution

x = - \frac{3 14 \times 49 5 ^{2}}{495}

Alternative Form

x \approx - 0.304678

Evaluate

(9 x^{2} \times 11 x) \times 2 - 12 (9 x^{2} \times 11 x) - 28

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

(9 x^{2} \times 11 x) \times 2 - 12 (9 x^{2} \times 11 x) - 28 = 0

Multiply

More Steps

99 x^{3} \times 2 - 12 (9 x^{2} \times 11 x) - 28 = 0

Multiply

More Steps

99 x^{3} \times 2 - 12 \times 99 x^{3} - 28 = 0

Multiply the numbers

198 x^{3} - 12 \times 99 x^{3} - 28 = 0

Multiply the numbers

198 x^{3} - 1188 x^{3} - 28 = 0

Subtract the terms

More Steps

- 990 x^{3} - 28 = 0

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

- 990 x^{3} = 0 + 28

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

- 990 x^{3} = 28

Change the signs on both sides of the equation

990 x^{3} = - 28

Divide both sides

\frac{990 x ^{3}}{990} = \frac{- 28}{990}

Divide the numbers

x^{3} = \frac{- 28}{990}

Divide the numbers

More Steps

x^{3} = - \frac{14}{495}

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

3 x^{3} = 3 - \frac{14}{495}

Calculate

x = 3 - \frac{14}{495}

Solution

More Steps

x = - \frac{3 14 \times 49 5 ^{2}}{495}

Alternative Form

x \approx - 0.304678

Show Solution