We want to solve x squared
plus 12x plus 32 equals zero
and we're gonna do that
using the quadratic formula.
So our a's, b's, and c's
that we're gonna use,
a would be the coefficient
in front of x squared,
b is the coefficient in front of x,
and c is our number without
a variable at the end.
So now we're just gonna sub
those numbers into our formula
giving us negative 12 plus or minus
12 squared minus four times one times 32
all over two times one.
So simplifying that
will give us negative 12
plus or minus the square root of 144
minus 128 over two.
Simplifying it further
we get negative 12 plus or minus
the square root of 16 over two.
And then negative 12 plus
or minus four over two.
So we're gonna have
two possible solutions.
Either x is equal to negative
12 plus four over two,
or x is equal to negative
12 minus four over two.
So negative 12 plus four
gives us negative eight
divided by two gives us
one possible solution,
x equals negative four,
or negative 12 minus four
gives us negative 16.
When we divide that by
two we get negative eight.
