2w^2+6=4w

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

Simplifying
2w2 + 6 = 4w

Reorder the terms:
6 + 2w2 = 4w

Solving
6 + 2w2 = 4w

Solving for variable 'w'.

Reorder the terms:
6 + -4w + 2w2 = 4w + -4w

Combine like terms: 4w + -4w = 0
6 + -4w + 2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -2w + w2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -2w + w2)' equal to zero and attempt to solve:

Simplifying
3 + -2w + w2 = 0

Solving
3 + -2w + w2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2w + -3 + w2 = 0 + -3

Reorder the terms:
3 + -3 + -2w + w2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2w + w2 = 0 + -3
-2w + w2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2w + w2 = -3

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

Add '1' to each side of the equation.
-2w + 1 + w2 = -3 + 1

Reorder the terms:
1 + -2w + w2 = -3 + 1

Combine like terms: -3 + 1 = -2
1 + -2w + w2 = -2

Factor a perfect square on the left side:
(w + -1)(w + -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.