(2r+3)(2r-1)=-(3r+11)

Solution for (2r+3)(2r-1)=-(3r+11) equation:

Simplifying
(2r + 3)(2r + -1) = -1(3r + 11)

Reorder the terms:
(3 + 2r)(2r + -1) = -1(3r + 11)

Reorder the terms:
(3 + 2r)(-1 + 2r) = -1(3r + 11)

Multiply (3 + 2r) * (-1 + 2r)
(3(-1 + 2r) + 2r * (-1 + 2r)) = -1(3r + 11)
((-1 * 3 + 2r * 3) + 2r * (-1 + 2r)) = -1(3r + 11)
((-3 + 6r) + 2r * (-1 + 2r)) = -1(3r + 11)
(-3 + 6r + (-1 * 2r + 2r * 2r)) = -1(3r + 11)
(-3 + 6r + (-2r + 4r2)) = -1(3r + 11)

Combine like terms: 6r + -2r = 4r
(-3 + 4r + 4r2) = -1(3r + 11)

Reorder the terms:
-3 + 4r + 4r2 = -1(11 + 3r)
-3 + 4r + 4r2 = (11 * -1 + 3r * -1)
-3 + 4r + 4r2 = (-11 + -3r)

Solving
-3 + 4r + 4r2 = -11 + -3r

Solving for variable 'r'.

Reorder the terms:
-3 + 11 + 4r + 3r + 4r2 = -11 + -3r + 11 + 3r

Combine like terms: -3 + 11 = 8
8 + 4r + 3r + 4r2 = -11 + -3r + 11 + 3r

Combine like terms: 4r + 3r = 7r
8 + 7r + 4r2 = -11 + -3r + 11 + 3r

Reorder the terms:
8 + 7r + 4r2 = -11 + 11 + -3r + 3r

Combine like terms: -11 + 11 = 0
8 + 7r + 4r2 = 0 + -3r + 3r
8 + 7r + 4r2 = -3r + 3r

Combine like terms: -3r + 3r = 0
8 + 7r + 4r2 = 0

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

Divide each side by '4'.
2 + 1.75r + r2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 1.75r + -2 + r2 = 0 + -2

Reorder the terms:
2 + -2 + 1.75r + r2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1.75r + r2 = 0 + -2
1.75r + r2 = 0 + -2

Combine like terms: 0 + -2 = -2
1.75r + r2 = -2

The r term is 1.75r.  Take half its coefficient (0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
1.75r + 0.765625 + r2 = -2 + 0.765625

Reorder the terms:
0.765625 + 1.75r + r2 = -2 + 0.765625

Combine like terms: -2 + 0.765625 = -1.234375
0.765625 + 1.75r + r2 = -1.234375

Factor a perfect square on the left side:
(r + 0.875)(r + 0.875) = -1.234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.