# How do you solve the equation #3x^2-x+5=x^2+3x-14# by completing the square?

##### 1 Answer

Feb 15, 2017

#### Explanation:

Combine like terms by moving all terms on the right to the left:

Simplify:

Complete the square:

- Combine the x-terms & factoring:
#2(x^2-2x) +19 = 0# - Half the x-term
#-2x: 1/2(-2) = -1# , Used in#(x-1)^2# - Square the halved x-term from step 2:
#(-1)^2 = 1# , and multiply by#2# , the factored number in front of the square. - Complete the square & subtract the added term:
#2(x-1)^2 +19 - 2(1) = 0# - Simplify:
#2(x-1)^2 +17 = 0#