4 (x+7)^2 = 1
4x^2 + 56x + 196 = 1 Simplifying the equatation
4x2 + 56x + 195 = 0 Subtracting 1
(2x + 13) (2x + 15) = 0 Factorizing the left side
2x + 13 = 0 and 2x + 15 = 0
x = -13/2 or x = -15/2
Here is another way:
4(x + 7)2 = 1
Divide both sides of the equation by 4 .
(x + 7)2 = 1/4
Take the ± square root of both sides.
x + 7 = ±√[ 1/4 ]
x + 7 = ±1/2
Subtract 7 from both sides.
x = ±1/2 - 7
x = 1/2 - 7 or x = -1/2 - 7
x = 1/2 - 14/2 or x = -1/2 - 14/2
x = -13/2 or x = -14/2