-2b^2-4b+4=6

Solution for -2b^2-4b+4=6 equation:

Simplifying
-2b2 + -4b + 4 = 6

Reorder the terms:
4 + -4b + -2b2 = 6

Solving
4 + -4b + -2b2 = 6

Solving for variable 'b'.

Reorder the terms:
4 + -6 + -4b + -2b2 = 6 + -6

Combine like terms: 4 + -6 = -2
-2 + -4b + -2b2 = 6 + -6

Combine like terms: 6 + -6 = 0
-2 + -4b + -2b2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(1 + 2b + b2) = 0

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

Ignore the factor -2.
Subproblem 1
Set the factor '(1 + b)' equal to zero and attempt to solve:

Simplifying
1 + b = 0

Solving
1 + b = 0

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

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

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

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

Simplifying
b = -1
Subproblem 2
Set the factor '(1 + b)' equal to zero and attempt to solve:

Simplifying
1 + b = 0

Solving
1 + b = 0

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

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

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

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

Simplifying
b = -1
Solution
b = {-1, -1}