Explanation:
We can also solve the equation x² + 4x + 4 = 8 by rearranging the terms and using the quadratic formula:
x² + 4x + 4 - 8 = 0
x² + 4x - 4 = 0
Applying the quadratic formula, we have:
x = (-b ± √(b² - 4ac)) / 2a
where a = 1, b = 4, and c = -4. Substituting these values, we get:
x = (-4 ± √(4² - 4(1)(-4))) / 2(1)
x = (-4 ± √32) / 2
Simplifying the square root of 32, we get:
x = (-4 ± 4√2) / 2
x = -2 ± 2√2
Therefore, the solutions to the equation x² + 4x + 4 = 8 are x = -2 + 2√2 and x = -2 - 2√2.