4w-2=2w^2

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

Simplifying
4w + -2 = 2w2

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

Solving
-2 + 4w = 2w2

Solving for variable 'w'.

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

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 2w + -1w2) = 0

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

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

Simplifying
-1 + w = 0

Solving
-1 + w = 0

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

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

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

Combine like terms: 0 + 1 = 1
w = 1

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

Simplifying
1 + -1w = 0

Solving
1 + -1w = 0

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

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

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

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

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

Simplifying
w = 1
Solution
w = {1, 1}