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

Sagot :

Sqdancefanidn

9514 1404 393

Answer:

  -2/5, -6

Step-by-step explanation:

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

  (5x -(-2))(x +6) = 0

This can be simplified to ...

  (5x +2)(x +6) = 0

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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

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  x +6 = 0

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

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

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

View image Sqdancefan
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