-2r^2-6r-6=-2r-4r^2

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Solution for -2r^2-6r-6=-2r-4r^2 equation: 


Simplifying
-2r2 + -6r + -6 = -2r + -4r2

Reorder the terms:
-6 + -6r + -2r2 = -2r + -4r2

Solving
-6 + -6r + -2r2 = -2r + -4r2

Solving for variable 'r'.

Reorder the terms:
-6 + -6r + 2r + -2r2 + 4r2 = -2r + -4r2 + 2r + 4r2

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

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

Reorder the terms:
-6 + -4r + 2r2 = -2r + 2r + -4r2 + 4r2

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

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

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

Factor a trinomial.
2((-1 + -1r)(3 + -1r)) = 0

Ignore the factor 2.

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

Simplifying
-1 + -1r = 0

Solving
-1 + -1r = 0

Move all terms containing r to the left, all other terms to the right.

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

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

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

Divide each side by '-1'.
r = -1

Simplifying
r = -1

Subproblem 2
Set the factor '(3 + -1r)' equal to zero and attempt to solve:

Simplifying
3 + -1r = 0

Solving
3 + -1r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -1r = 0 + -3

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

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

Divide each side by '-1'.
r = 3

Simplifying
r = 3
Solution
r = {-1, 3}

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