Step by step solution :

Step 1 :

Equation at the end of step 1 : 2x2 - 4x = 0

Step 2 :

Step 3 :

Pulling out like terms :3.1 Pull out like factors:2x2 - 4x=2x•(x - 2)

Equation at the end of step 3 :

2x • (x - 2) = 0

Step 4 :

Theory - Roots of a product :4.1 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:4.2Solve:2x = 0Divide both sides of the equation by 2:x = 0

Solving a Single Variable Equation:4.3Solve:x-2 = 0Add 2 to both sides of the equation:x = 2

Two solutions were found :

x = 2x = 0




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