The answer is x = 4 ; x = 0
SOLUTION: (solved by Completing the Square)
Distribute x through the parenthesis
→ x² - 4x = 0
To complete the square, the same value needs to be added on both sides
→ x² - 4x + ? = 0 + ?
To complete the square: x² - 4x + 4 = (x - 2)² add 4 to the expression
→ x² - 4x + 4 = 0 + 4
Factor the expression x² - 4x + 4 = 0 + 4
→ (x - 2)² = 0 + 4
→ (x - 2)² = 4
Solve the expression for x
→ √(x - 2)² = √4
→ (x - 2) = ±2
Split up into 2 possible cases
→ x - 2 = 2
x - 2 = -2
→ x = 4
x = 0
→ x = 4 ; x = 0
