Question

12x 2 - 4x=0, x= kindly guide me

Answer 1

Answer:

24x - 4x = 0

20x =0

x=0/20

x=0

Answer 2

Answer:

x = 1/3 = 0.333

x = 0

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(22•3x2) - 4x = 0

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

12x2 - 4x = 4x • (3x - 1)

Equation at the end of step 3 :

4x • (3x - 1) = 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 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 :

4.2 Solve : 4x = 0

Divide both sides of the equation by 4:

x = 0

Solving a Single Variable Equation :

4.3 Solve : 3x-1 = 0

Add 1 to both sides of the equation :

3x = 1

Divide both sides of the equation by 3:

x = 1/3 = 0.333

Two solutions were found :

x = 1/3 = 0.333

x = 0