EXAMPLE 2.
Solve: 3x +
- 2-X
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Answers
Answer:
1/3=0.333...
Step-by-step explanation:
Step by step solution :
STEP
1
:
Equation at the end of step 1
3x2 - x = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
3x2 - 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
Answer:
x=1
Step-by-step explanation:
3x-2-x=. 2x=2. x=1 I hope this answer is helpful for you