## EXAMPLE 2. Solve: 3x + – 2-X ол​

Question

EXAMPLE 2.
Solve: 3x +
– 2-X
ол​

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1 month 2021-08-12T20:03:00+00:00 2 Answers 0 views 0

1/3=0.333…

Step-by-step explanation:

Step by step solution :

STEP

1

:

Equation at the end of step 1

3×2 –  x  = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

3×2 – x  =   x • (3x – 1)

Equation at the end of step

3

:

x • (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  :    x = 0

Solution is  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