# How do you solve #[(x^2+5x) / (x +2)] + 10x = -24#?

See a solution process below:

We can now use the quadratic equation to solve this problem:

The quadratic formula states:

Substituting:

By signing up, you agree to our Terms of Service and Privacy Policy

To solve the equation [(x^2+5x) / (x +2)] + 10x = -24, we can start by multiplying both sides of the equation by (x + 2) to eliminate the denominator. This gives us x^2 + 5x + 10x(x + 2) = -24(x + 2). Simplifying further, we have x^2 + 5x + 10x^2 + 20x = -24x - 48. Combining like terms, we get 11x^2 + 25x + 48 = 0. This is a quadratic equation, which can be solved using factoring, completing the square, or the quadratic formula.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- The length of a rectangle with constant area varies inversely as the width. When the length is 18 ft, the width is 8 ft. How do you find the length when the width is 9 ft?
- How do you solve #\frac { k } { - 9 } = - \frac { 1 } { 3 }#?
- How do you simplify #(12a^2bx)/(30ax^2)#?
- How do you write #4/(x+2)+3/(x-2)# as a single fraction in its simplest form?
- How do you simplify #\frac { 2^ { 3} + 2^ { 7} + 2^ { 9} } { 2^ { 2} + 2^ { 6} + 2^ { 8} }#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7