## Strategy for Solving Quadratic Problems

### Algebra: Solve for x Help

#### Home | Solve for x menu | Algebra menu

Suppose you have a problem like:

6x^{2} + x - 1
= 3x^{2} - 8x - 2

The basic idea is to get everything on one side of the equation with zero on the other side, so that you can use the quadratic formula. It doesn't matter which side ends up being zero because the quadratic formula will work either way. In our example, let's have the right side equal to zero. What we do is subtract the right side from both sides of the equation.

6x^{2} + x - 1 =
3x^{2} - 8x - 2

6x^{2} + x - 1 -
(3x^{2} - 8x - 2) =
3x^{2} - 8x - 2 - (3x^{2} - 8x - 2)

6x^{2} + x - 1
- 3x^{2} + 8x + 2 = 0

3x^{2} + 9x + 1 = 0

Now we can use the quadratic formula with
a = 3, b = 9, c = 1. We find the lower root
is

## Algebra: Solve for x Help

### What do you need help with? Click on one of the following topics...

Basic multiply/divide solve for x

Basic add/multiply mixtures

Solving basic problems involving brackets

What is cross-multiplying?

What is the quadratic formula?

Strategy for solving quadratic problems

Solving quadratic problems involving brackets

Solving quadratic problems involving fractions

Copyright © 2011 - Mathwizz.com all rights reserved