Answer
The equation has no real number solution.
Work Step by Step
Subtract 100 on both sides of the equation to obtain:
$6x^2=-100$
Divide 6 on both sides of the equation to obtain:
$x^2=\dfrac{100}{-6}
\\x^2=-\dfrac{50}{3}$
Note that for any real number $x$, $x^2 \ge 0$.
Thus, the given equation has no real number solution.
