4r^2=4r-4

Solution for 4r^2=4r-4 equation:

Simplifying
4r2 = 4r + -4

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

Solving
4r2 = -4 + 4r

Solving for variable 'r'.

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

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

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

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

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + -1r + r2) = 0

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

Simplifying
1 + -1r + r2 = 0

Solving
1 + -1r + r2 = 0

Begin completing the square.

Move the constant term to the right:

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

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

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

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

The r term is -1r.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

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

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

Combine like terms: -1 + 0.25 = -0.75
0.25 + -1r + r2 = -0.75

Factor a perfect square on the left side:
(r + -0.5)(r + -0.5) = -0.75

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.