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 2x2 + 4x − 4 − (3x2 − 3x + x2 − 5x − 2 + 2x2 + 5x + (−2x) + (−6x2) − 2x − 1 + 8x2 − 7x + 4) = 4x2 + 5. You just simplify both sides, getting (eventually) −6x2 + 18x − 5 = 4x2 + 5. This becomes −10x2 + 18x − 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 5x2 − 9x + 5 = 0. Now we apply the Quadratic Formula, which tells us that the two solutions are {9 ⁄ 10 + 1 ⁄ 10 * √19i, 9 ⁄ 10 + (−1 ⁄ 10 * √19)i}. (Remember, the braces mean that we're listing two separate solutions.)