2(4-2r)=-2r(r+5)

Solution for 2(4-2r)=-2r(r+5) equation:

Simplifying
2(4 + -2r) = -2r(r + 5)
(4 * 2 + -2r * 2) = -2r(r + 5)
(8 + -4r) = -2r(r + 5)

Reorder the terms:
8 + -4r = -2r(5 + r)
8 + -4r = (5 * -2r + r * -2r)
8 + -4r = (-10r + -2r2)

Solving
8 + -4r = -10r + -2r2

Solving for variable 'r'.

Combine like terms: -4r + 10r = 6r
8 + 6r + 2r2 = -10r + -2r2 + 10r + 2r2

Reorder the terms:
8 + 6r + 2r2 = -10r + 10r + -2r2 + 2r2

Combine like terms: -10r + 10r = 0
8 + 6r + 2r2 = 0 + -2r2 + 2r2
8 + 6r + 2r2 = -2r2 + 2r2

Combine like terms: -2r2 + 2r2 = 0
8 + 6r + 2r2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 3r + r2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + 3r + r2)' equal to zero and attempt to solve:

Simplifying
4 + 3r + r2 = 0

Solving
4 + 3r + r2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 3r + -4 + r2 = 0 + -4

Reorder the terms:
4 + -4 + 3r + r2 = 0 + -4

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

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

The r term is 3r.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3r + 2.25 + r2 = -4 + 2.25

Reorder the terms:
2.25 + 3r + r2 = -4 + 2.25

Combine like terms: -4 + 2.25 = -1.75
2.25 + 3r + r2 = -1.75

Factor a perfect square on the left side:
(r + 1.5)(r + 1.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.