Step by step solution :
Step 1 :
Step 2 :
Pulling out like terms :2.1 Pull out like factors:x2  4x=x•(x  4)Equation at the end of step 2 :x • (x  4) = 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 separatelyIn other words, we are going to solve as many equations as there are terms in the productAny solution of term = 0 solves product = 0 as well.Solving a Single Variable Equation:3.2Solve:x = 0 Solution is x = 0
Solving a Single Variable Equation:3.3Solve:x4 = 0Add 4 to both sides of the equation:x = 4
Two solutions were found :
x = 4x = 0You are watching: X^24x=0
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