# How do you solve #4c^2 + 10c = -7# by completing the square?

##### 1 Answer

Mar 20, 2018

#### Explanation:

- Factor out the coefficient of
#x^2# , then work with the quadratic expression which has a coefficient of#x^2# equal to#1# - Check the coefficient of
#x# in the new quadratic expression and take half of it - this is the number that goes into the complete square bracket - Balance the constant term by subtracting the square of the number from step 2 and putting in the constant from the quadratic expression
- The rest is arithmetic that may often involve fractions

Re-write the equations as

This just presents the quadratic in an alternative format.