Answer:
The solution/roots: x = 6 and -2
Step-by-step explanation:
Given:
Write in standard form ax² + bx + c = 0:
2x² - 8x - 24 = 0
Divide each term by their greatest common factor 2:
(2x² - 8x - 24)/2 = 0
x² - 4x - 12 = 0
Write the equation in factored form:
(x - 6)(x + 2) = 0
Equate each factor to 0:
x - 6 = 0
x = 6
x + 2 = 0
x = -2
The solution:
x = 6; x = -2
