Complete the square to solve 4x^2 + 24x = 4

4x^2+24x=4

Step 1:

make the coefficient of x² as 1, divide both sides by 4

x² + 6x = 1

Step 2:

take half of coefficient of x, square it and add it to both sides

half of 6 is 3 and 3²=9, so add 9 to both sides

x² + 6x+9=1+9

x²+6x+3²=10

(x+3) ²=10

now when we take square root we will get both + and - √10 on right side

x+3 = + √10

x+3=-√10

solving for x

x=+√10-3