Answer:
2 and -16
Step-by-step explanation:
https://www.tiger-algebra.com/drill/x~2_14x=32/
"Two solutions were found :
x = 2
x = -16
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x^2+14*x-(32)=0
Step by step solution :
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2+14x-32
The first term is, x2 its coefficient is 1 .
The middle term is, +14x its coefficient is 14 .
The last term, "the constant", is -32
Step-1 : Multiply the coefficient of the first term by the constant 1 • -32 = -32
Step-2 : Find two factors of -32 whose sum equals the coefficient of the middle term, which is 14 .
-32 + 1 = -31
-16 + 2 = -14
-8 + 4 = -4
-4 + 8 = 4
-2 + 16 = 14 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 16
x2 - 2x + 16x - 32
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-2)
Add up the last 2 terms, pulling out common factors :
16 • (x-2)
Step-5 : Add up the four terms of step 4 :
(x+16) • (x-2)
Which is the desired factorization
Equation at the end of step 1 :
(x + 16) • (x - 2) = 0 "
