Question

solve it- 2-8x+4x+4=?

Answer 1

-4x2-8x-4=0

One solution was found :

x = -1
Step by step solution :

Step 1 :

Equation at the end of step 1 :

((0 - 22x2) - 8x) - 4 = 0
Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

-4x2 - 8x - 4 = -4 • (x2 + 2x + 1)

Trying to factor by splitting the middle term

3.2 Factoring x2 + 2x + 1

The first term is, x2 its coefficient is 1 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is +1

Step-1 : Multiply the coefficient of the first term by the constant 1 • 1 = 1

Step-2 : Find two factors of 1 whose sum equals the coefficient of the middle term, which is 2 .

-1 + -1 = -2
1 + 1 = 2 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 1 and 1
x2 + 1x + 1x + 1

Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x+1)
Add up the last 2 terms, pulling out common factors :
1 • (x+1)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x+1)
Which is the desired