Answer
The solutions are 7 and -9.
Work Step by Step
$x^{2}$+2x-63=0
$x^{2}$+9x-7x-63=0
x(x+9)-7(x+9)=0
(x-7)(x+9)=0
x-7=0 or x+9=0
x-7+7=0+4 or x+9-9=0-9
x=7 or x=-9
The solutions are 7 and -9.
Check
Let x=7
$x^{2}$+2x-63=0
$7^{2}$ +2*7-63=0
49+14-63=0
63-63=0
0=0
Let x= -9
$x^{2}$+2x-63=0
$(-9)^{2}$ +2(-9)-63=0
81-18-63=0
0=0
