# How do you solve #4x^2 +12x=29# by completing the square?

##### 1 Answer

Please see the explanation.

#### Explanation:

Divide both sides by 4:

Add

Using the pattern

Divide both sides of the equation 2x:

Substitute

We know that the left side of equation [2] is a perfect square, therefore, we can substitute the left side of the pattern with

Simplify the right side of equation [3]:

Use the square root on both sides:

Subtract

Split equation [6] into two equations: