Step 1
Given;

Required; To find the center that eliminates the linear terms
Step 2



Step 3
Substitute a,d,e into the vertex form


Step 4
Completing the square for -y²+4y



Step 5
Substitute a,d,e into the vertex form

Step 6

Step 7

Hence the answer is (-3,2)
X= -5/2 or -2.5, 1
————
Move the constant to the left
2x^2+ 3x-1-4=0
Bust the b
2x^2+ 5x -2x-1-4=0
2x^2+ 5x -2x-5=0
Factor out the expression
x(2x+5) -1(2x+5)=0
Factor out 2x+5
(x-1)(2x+5)=0
When the product of factors equal 0, at least one factor IS 0
2x+5=0
x-1=0
Solve