(5w^2-7w+3)-(2w^2-4w+2)=

Solution for (5w^2-7w+3)-(2w^2-4w+2)= equation:

Simplifying
(5w2 + -7w + 3) + -1(2w2 + -4w + 2) = 0

Reorder the terms:
(3 + -7w + 5w2) + -1(2w2 + -4w + 2) = 0

Remove parenthesis around (3 + -7w + 5w2)
3 + -7w + 5w2 + -1(2w2 + -4w + 2) = 0

Reorder the terms:
3 + -7w + 5w2 + -1(2 + -4w + 2w2) = 0
3 + -7w + 5w2 + (2 * -1 + -4w * -1 + 2w2 * -1) = 0
3 + -7w + 5w2 + (-2 + 4w + -2w2) = 0

Reorder the terms:
3 + -2 + -7w + 4w + 5w2 + -2w2 = 0

Combine like terms: 3 + -2 = 1
1 + -7w + 4w + 5w2 + -2w2 = 0

Combine like terms: -7w + 4w = -3w
1 + -3w + 5w2 + -2w2 = 0

Combine like terms: 5w2 + -2w2 = 3w2
1 + -3w + 3w2 = 0

Solving
1 + -3w + 3w2 = 0

Solving for variable 'w'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
0.3333333333 + -1w + w2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -1w + -0.3333333333 + w2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -1w + w2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -1w + w2 = 0 + -0.3333333333
-1w + w2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-1w + w2 = -0.3333333333

The w term is -1w.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1w + 0.25 + w2 = -0.3333333333 + 0.25

Reorder the terms:
0.25 + -1w + w2 = -0.3333333333 + 0.25

Combine like terms: -0.3333333333 + 0.25 = -0.0833333333
0.25 + -1w + w2 = -0.0833333333

Factor a perfect square on the left side:
(w + -0.5)(w + -0.5) = -0.0833333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.