Answer:
The product equality property allows an equation in one variable to be written as a system of equations
Step-by-step explanation:
We can express an equation in one variable as follows;
f(x) = g(x)
The properties of equality of products allows us to write an equation in one variable into a system of equations as follows;
(x - 3)×(x + 2) = 0
The zero product property gives;
x- 3 = 0 or x + 2 = 0
Also we have;
Product of two negatives = positive
Therefore when (x - 2)² = 25
x - 2 = ±5.