What are the values of x in the equation x (x+6) = 4 (x+6)

x (x + 6) = 4 (x + 6)

x (x) + x (6) = 4 (x) + 4 (6)

x² + 6x = 4x + 24

- 4x - 4x

x² + 2x = 24

x² + 2x - 24 = 24 - 24

x² + 2x - 24 = 0

x = - (2) ± √ ((2) ² - 4 (1) (-24))

2 (1)

x = - 2 ± √ (4 + 96)

2

x = - 2 ± √ (100)

2

x = - 2 ± 10

2

x = - 1 ± 5

x = - 1 + 5 U x = - 1 - 5

x = 4 U x = - 6

Since both sides has same factor (x+6), we can set (x+6) equal to 0.

So we would have one of solution x = - 6. (because this would have us x·0 = 4·0)

Now when x is NOT equal to - 6, we can divide both sides by (x+6), leaving us

x = 4

So answer is x = - 6 or 4.