How do you solve x^2 + 6 = -5xx2+6=5x?

1 Answer
Mar 28, 2018

The 2 solutions are x = -2 and x = -3x=2andx=3.

Explanation:

Get everything on one side of the equal sign.

x^2 +5x +6 = 0x2+5x+6=0

Now factor.

(x + 2)*(x+3) = 0(x+2)(x+3)=0

The left side will equal zero when either of the 2 factors equal zero. so the 2 solutions are found as follows:

x + 2 = 0 " therefore " x = -2x+2=0 therefore x=2

x + 3 = 0 " therefore " x = -3x+3=0 therefore x=3

I hope this helps,
Steve