Answer:
x = 1 or x = 3
Explanation:
x(x - 4) = -3
x² - 4x = -3
x² - 4x + 3 = 0
To factor the left side, we need to find two numbers that have a sum of -4 and a product of 3, these numbers are -1 and -3 so the equation becomes:
(x - 1)(x - 3) = 0
Now, using ZPP, we get:
x - 1 = 0 or x - 3 = 0
x = 1 or x = 3