Solve for x. Write the smaller solution first, and the larger solution second. 2x^2 - 24x + 54 = 0

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