Answer:
x = - 2, x = 2
Explanation:
2x² - 8 = 0 ( divide through by 2 )
x² - 4 = 0 ← x² - 4 is a difference of squares and factors in general as
a² - b² = (a + b)(a - b) , then
x² - 4 = 0
x² - 2² = 0
(x + 2)(x - 2) = 0 ← in factored form
equate each factor to zero and solve for x
x + 2 = 0 ( subtract 2 from both sides )
x = - 2
x - 2 = 0 ( add 2 to both sides )
x = 2
solutions are x = - 2 , x = 2