Answer:
x1 = -8, x2= 2
Explanation:
1. Write 6x as a difference
= x^2 + 8x - 2x - 16 = 0
2. Factor the expressions
= x ( x + 8 ) - 2x - 16 = 0
= x ( x + 8 ) - 2 ( x + 8 ) = 0
Factor out x + 8 from the expression
= ( x + 8 ) ( x - 2 ) = 0
3. When the product of factors = 0, at least one factor is 0
x + 8 = 0
x - 2 = 0
4. Solve the equation for x
x = - 8
x = 2
Therefore, the equation has 2 solutions :
x1 = -8, x2 = 2