Solve x ^ 2 - 9 / 3x - x ^ 2 - 24 < 0

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Type your math problem... x ^ 2 - 9 / 3x - x ^ 2 - 24 < 0

Question

Solve the inequality

x > - 8

Alternative Form

x \in (- 8, + \infty)

Evaluate

x^{2} - \frac{9}{3} x - x^{2} - 24 < 0

Simplify

More Steps

Evaluate

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

Divide the terms

More Steps

Evaluate

\frac{9}{3}

Reduce the numbers

\frac{3}{1}

Calculate

3

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

The sum of two opposites equals 0

More Steps

Evaluate

x^{2} - x^{2}

Collect like terms

(1 - 1) x^{2}

Add the coefficients

0 \times x^{2}

Calculate

0

0 - 3 x - 24

Remove 0

- 3 x - 24

- 3 x - 24 < 0

Move the constant to the right side

- 3 x < 0 + 24

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

- 3 x < 24

Change the signs on both sides of the inequality and flip the inequality sign

3 x > - 24

Divide both sides

\frac{3 x}{3} > \frac{- 24}{3}

Divide the numbers

x > \frac{- 24}{3}

Solution

More Steps

Evaluate

\frac{- 24}{3}

Reduce the numbers

\frac{- 8}{1}

Calculate

- 8

x > - 8

Alternative Form

x \in (- 8, + \infty)

Show Solution

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