Answer:
Step-by-step explanation:
(x-4)2-28=8
Two solutions were found :
x = 10
x = -2
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(x-4)^2-28-(8)=0
Step by step solution :
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2-8x-20
The first term is, x2 its coefficient is 1 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is -20
Step-1 : Multiply the coefficient of the first term by the constant 1 • -20 = -20
Step-2 : Find two factors of -20 whose sum equals the coefficient of the middle term, which is -8 .
-20 + 1 = -19
-10 + 2 = -8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 2
x2 - 10x + 2x - 20
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-10)
Add up the last 2 terms, pulling out common factors :
2 • (x-10)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x-10)
Which is the desired factorization
