Answer:
x=3, x=9
Step-by-step explanation:
2x^2 - 24x + 54 = 0
1. Divide both sides of the equation by 2
x^2 - 12x + 27 = 0
2. Write -12x as a difference
x^2 - 3x - 9x + 27 = 0
3. Factor out x from the expression, then factor out -9 from the expression
x × (x - 3) - 9(x - 3) = 0
4. Factor out x - 3 from the expression
(x - 3) × (x - 9) = 0
5. When the product of factors equals 0, at least one factor is 0
x - 3 = 0
x - 9 = 0
6. Solve the equation for x
x=3
x=9
