# How do you solve #4x^2 = 12x + 40#?

##### 2 Answers

#### Explanation:

You could solve this quadratic equation by using the *quadratic formula*.

For a quadratic equation that has the general form

the quadratic formula takes the form

So, in order to be able to use this formula, get your quadratic to the general form by adding

You can simplify this by dividing all the terms by

The two solutions of the equation will thus be

Solve

Ans: -2 and 5.

#### Explanation:

I use the new Transforming Method. Find 2 numbers knowing sum (-3) and product (-10). Roots have opposite signs.

Factor pairs of (-10) --> (-1, 10)(-2, 5). This sum is 3 = -b.

Then, the 2 real roots are: -2 and 5.