You may want to review the Quadratic Formula first.

Sometimes, the equation will be given in a more complicated form.
For example, you might be asked to solve 2*x*^{2} +
4*x* − 4 − (3*x*^{2} −
3*x* + *x*^{2} − 5*x* − 2 +
2*x*^{2} + 5*x* + (−2*x*) +
(−6*x*^{2}) − 2*x* − 1 +
8*x*^{2} − 7*x* + 4) =
4*x*^{2} + 5. You just simplify both sides, getting
(eventually) −6*x*^{2} + 18*x* − 5 =
4*x*^{2} + 5. This becomes
−10*x*^{2} + 18*x* − 10 = 0. We
could solve this directly by the Quadratic Formula, but it might
be easier to first divide both sides by −2 (since it goes
into all the coefficients evenly), getting 5*x*^{2}
− 9*x* + 5 = 0. Now we apply the Quadratic Formula,
which tells us that the two solutions are
{9 ⁄ 10 + 1 ⁄ 10 *
√19*i*, 9 ⁄ 10 +
(−1 ⁄ 10 * √19)*i*}.
(Remember, the braces mean that we're listing two separate
solutions.)