Answer:
1: x = 6
x = 0
2: x = 6
x = 0
Step-by-step explanation:
1: Pulling out like terms :
2.1 Pull out like factors :
x2 - 6x = x • (x - 6)
Equation at the end of step 2 :
x • (x - 6) = 0
Step 3 :
Theory - Roots of a product :
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation :
3.2 Solve : x = 0
Solution is x = 0
Solving a Single Variable Equation :
3.3 Solve : x-6 = 0
Add 6 to both sides of the equation :
x = 6
2: Same thing
Hope this helps
