Textual 6 6 0 0

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Step by step solution :

  1. Textual 6 6 0 0 =
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  3. Textual 6 6 0 0 Percent
  4. Textual 6 6 0 0 8

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Step 1 :

Equation at the end of step 1 :

Step 2 :

Step 3 :

Pulling out like terms :

Textual 6 6 0 0

Textual 6 6 0 0 =

3.1 Pull out like factors :
6x2 - 6 = 6 • (x2 - 1)

Textual 6 6 0 0 Download

Trying to factor as a Difference of Squares :

3.2 Factoring: x2 - 1
Theory : A difference of two perfect squares, A2 - B2can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2- AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 1 is the square of 1
Check : x2is the square of x1
Factorization is : (x + 1) • (x - 1)

Equation at the end of step 3 :

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.

Equations which are never true :

4.2 Solve : 6 = 0
This equation has no solution.
 A a non-zero constant never equals zero.

Solving a Single Variable Equation :

Textual 6 6 0 0 Percent

4.3 Solve : x+1 = 0
Subtract 1 from both sides of the equation :
 x = -1

Solving a Single Variable Equation :

4.4 Solve : x-1 = 0
Add 1 to both sides of the equation :
 x = 1

Textual 6 6 0 0 8

Two solutions were found :

  1. x = 1
  2. x = -1