Solve x^2 + 8x -3 =6 x= ? x= ?

The first term is, x2 its coefficient is 1 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3

Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is 2 .

-3 + 1 = -2
-1 + 3 = 2 That's it

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

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 :
3 • (x-1)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-1)
Which is the desired factorization

Equation at the end of step
1
:

(x + 3) • (x - 1) = 0

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