Question

Solve.
x^2 + 5x = -6

a. x = 5 and x = 1
b. x = -5 and x = -1
c. x = 3 and x = 2
d. x = -3 and x = -2

Answer 1

\[x ^{2}+5x=-6\]

We can use the quadratic equation to solve this, but if we can it's easier to just factor it.

add 6 to both sides
\[x ^{2}+5x+6\]
factor
\[(x+3)(x+2)\]
set both equal to 0 and solve for x

x+3 = 0
x= -3

x+2 = 0
x = -2

So x = -3 and -2