How you solve this by using solving proportions

Mathematics

1 answer:

DerKrebs [107]2 years ago

7 0

3/(x + 4) = (x + 2)/5

Multiply both sides by 5 :

5 × 3/(x + 4) = 5 × (x + 2)/5

15/(x + 4) = x + 2

Multiply both sides by x + 4 :

(x + 4) × 15/(x + 4) = (x + 4) × (x + 2)

Provided that x + 4 ≠ 0, we can cancel the factors of x + 4 on the left side:

15 = (x + 4) (x + 2)

Expand the product on the right side:

15 = x² + 6x + 8

Move everything to one side:

0 = x² + 6x - 7

We can factorize easily in this case
0 = (x + 7) (x - 1)

Then

x + 7 = 0 or x - 1 = 0

⇒ x = -7 or x = 1

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