Solve three m squared minus
two, equal to negative m.
So, what you do first,
make it a standard form
of a quadratic equation,
which will be three m squared, plus m,
minus two, equal to zero.
Now, to find the value of a, b, c,
which is a equal to three, b equal to one,
and c equal to negative two.
Now, use your quadratic formula.
M equal to negative b,
plus, minus the square root
b squared, minus 4ac, over 2a.
Now, substituting the value
of a, b, c in this equation,
we get m equal to
negative one, plus, minus
the square root one to the value squared,
minus four, times three,
times negative two,
over two times three.
Now, m equal to negative one,
plus, minus, the square root.
One squared is one.
Times minus will be plus,
and four, times three, times two equal 24,
over, two times three is six.
We have m equal to
negative one plus, minus,
square root 25 over six.
Now, m equal to negative one, plus, minus,
square root 25 equal to five, over six.
Now we split into two parts:
m equal to negative one
plus five, over six,
or m equal to negative
one minus five, over six.
Now, solving this part.
Negative one plus five will
be positive four over six,
which is equal to two over three.
Negative one minus negative
five will be negative six
over six, which is equal to negative one.
So, our final answer
is m equal to two third
or m equal to negative one.
