I HOPE THIS HELPS
x=−7
x=−1
x
2
=−8x−7
Add 8x to both sides.
x
2
+8x=−7
Add 7 to both sides.
x
2
+8x+7=0
To solve the equation, factor x
2
+8x+7 using formula x
2
+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.
a+b=8
ab=7
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. The only such pair is the system solution.
a=1
b=7
Rewrite factored expression (x+a)(x+b) using the obtained values.
(x+1)(x+7)
To find equation solutions, solve x+1=0 and x+7=0.
x=−1
x=−7