3r^2-2r+6+r^2+r-2=

Solution for 3r^2-2r+6+r^2+r-2= equation:

Simplifying
3r2 + -2r + 6 + r2 + r + -2 = 0

Reorder the terms:
6 + -2 + -2r + r + 3r2 + r2 = 0

Combine like terms: 6 + -2 = 4
4 + -2r + r + 3r2 + r2 = 0

Combine like terms: -2r + r = -1r
4 + -1r + 3r2 + r2 = 0

Combine like terms: 3r2 + r2 = 4r2
4 + -1r + 4r2 = 0

Solving
4 + -1r + 4r2 = 0

Solving for variable 'r'.

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
1 + -0.25r + r2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.25r + -1 + r2 = 0 + -1

Reorder the terms:
1 + -1 + -0.25r + r2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.25r + r2 = 0 + -1
-0.25r + r2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.25r + r2 = -1

The r term is -0.25r.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25r + 0.015625 + r2 = -1 + 0.015625

Reorder the terms:
0.015625 + -0.25r + r2 = -1 + 0.015625

Combine like terms: -1 + 0.015625 = -0.984375
0.015625 + -0.25r + r2 = -0.984375

Factor a perfect square on the left side:
(r + -0.125)(r + -0.125) = -0.984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.