Question

What values of x makes this equation true?
(2x+6)^2-14=30

Answer 1

`(2x+6)^2-14=30 \\ \\ (2(x + 3))^2 - 14 = 30 \\ \\ 2^2 (x + 3)^2 - 14 = 30 \\ \\ 4(x + 3)^2 - 14 = 30 \\ \\ 4(x + 3)^2 = 30 + 14 \\ \\ 4(x + 3)^2 = 44 \\ \\ (x + 3)^2 = (44)/(4) \\ \\ (x + 3)^2 = 11 \\ \\ x + 3 = \pm √(11) \\ \\ x = √(11) - 3, - √(11) - 3 \\ \\`

The final result is: x = √11 - 3, -√11 - 3.