179k views
5 votes
What are the solutions of the equation (5x –
- 2)(x + 6) = 0?

User Totor
by
7.9k points

1 Answer

2 votes

9514 1404 393

Answer:

-2/5, -6

Explanation:

We assume you're asking for solutions to ...

(5x -(-2))(x +6) = 0

This can be simplified to ...

(5x +2)(x +6) = 0

__

The solutions are the values of x that make the factors zero. (The product can only be zero if a factor is zero.) Here, we'll find the zeros of the factors one at a time.

5x +2 = 0

5x = -2 . . . . . subtract the constant

x = -2/5 . . . . divide by the x-coefficient

__

x +6 = 0

x = -6 . . . . . .subtract the constant

The solutions of the equation are x = -2/5 or -6.

__

The graph shows the x-values that make the product zero.

What are the solutions of the equation (5x – - 2)(x + 6) = 0?-example-1
User Wrb
by
9.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories