Solve x^3-9x^2-4x^36

Question

Simplify the expression

- 23 x^{3} - 9 x^{2}

Evaluate

x^{3} - 9 x^{2} - 4 x^{3} \times 6

Multiply the terms

x^{3} - 9 x^{2} - 24 x^{3}

Solution

More Steps

Evaluate

x^{3} - 24 x^{3}

Collect like terms by calculating the sum or difference of their coefficients

(1 - 24) x^{3}

Subtract the numbers

- 23 x^{3}

- 23 x^{3} - 9 x^{2}

Show Solution

- x^{2} (23 x + 9)

Evaluate

x^{3} - 9 x^{2} - 4 x^{3} \times 6

Multiply the terms

x^{3} - 9 x^{2} - 24 x^{3}

Subtract the terms

More Steps

Evaluate

x^{3} - 24 x^{3}

Collect like terms by calculating the sum or difference of their coefficients

(1 - 24) x^{3}

Subtract the numbers

- 23 x^{3}

- 23 x^{3} - 9 x^{2}

Rewrite the expression

- x^{2} \times 23 x - x^{2} \times 9

Solution

- x^{2} (23 x + 9)

Show Solution

x_{1} = - \frac{9}{23}, x_{2} = 0

Alternative Form

x_{1} \approx - 0.391304, x_{2} = 0

Evaluate

x^{3} - 9 x^{2} - 4 x^{3} \times 6

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

x^{3} - 9 x^{2} - 4 x^{3} \times 6 = 0

Multiply the terms

x^{3} - 9 x^{2} - 24 x^{3} = 0

Subtract the terms

More Steps

Simplify

x^{3} - 9 x^{2} - 24 x^{3}

Subtract the terms

More Steps

Evaluate

x^{3} - 24 x^{3}

Collect like terms by calculating the sum or difference of their coefficients

(1 - 24) x^{3}

Subtract the numbers

- 23 x^{3}

- 23 x^{3} - 9 x^{2}

- 23 x^{3} - 9 x^{2} = 0

Factor the expression

- x^{2} (23 x + 9) = 0

Divide both sides

x^{2} (23 x + 9) = 0

Separate the equation into 2 possible cases

x^{2} = 0 23 x + 9 = 0

The only way a power can be 0 is when the base equals 0

x = 0 23 x + 9 = 0

Solve the equation

More Steps

Evaluate

23 x + 9 = 0

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

23 x = 0 - 9

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

23 x = - 9

Divide both sides

\frac{23 x}{23} = \frac{- 9}{23}

Divide the numbers

x = \frac{- 9}{23}

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

x = - \frac{9}{23}

x = 0 x = - \frac{9}{23}

Solution

x_{1} = - \frac{9}{23}, x_{2} = 0

Alternative Form

x_{1} \approx - 0.391304, x_{2} = 0

Show Solution