2b^2+6=4b

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

Simplifying
2b2 + 6 = 4b

Reorder the terms:
6 + 2b2 = 4b

Solving
6 + 2b2 = 4b

Solving for variable 'b'.

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -2b + b2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -2b + b2)' equal to zero and attempt to solve:

Simplifying
3 + -2b + b2 = 0

Solving
3 + -2b + b2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2b + -3 + b2 = 0 + -3

Reorder the terms:
3 + -3 + -2b + b2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2b + b2 = 0 + -3
-2b + b2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2b + b2 = -3

The b term is -2b.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2b + 1 + b2 = -3 + 1

Reorder the terms:
1 + -2b + b2 = -3 + 1

Combine like terms: -3 + 1 = -2
1 + -2b + b2 = -2

Factor a perfect square on the left side:
(b + -1)(b + -1) = -2

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.