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:x-4 = 0Add 4 to both sides of the equation:x = 4

Two solutions were found :

x = 4x = 0




You are watching: X^2-4x=0

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