-5w^2=-7w+5

Solution for -5w^2=-7w+5 equation:

Simplifying
-5w2 = -7w + 5

Reorder the terms:
-5w2 = 5 + -7w

Solving
-5w2 = 5 + -7w

Solving for variable 'w'.

Reorder the terms:
-5 + 7w + -5w2 = 5 + -7w + -5 + 7w

Reorder the terms:
-5 + 7w + -5w2 = 5 + -5 + -7w + 7w

Combine like terms: 5 + -5 = 0
-5 + 7w + -5w2 = 0 + -7w + 7w
-5 + 7w + -5w2 = -7w + 7w

Combine like terms: -7w + 7w = 0
-5 + 7w + -5w2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
1 + -1.4w + w2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.4w + -1 + w2 = 0 + -1

Reorder the terms:
1 + -1 + -1.4w + w2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.4w + w2 = 0 + -1
-1.4w + w2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.4w + w2 = -1

The w term is -1.4w.  Take half its coefficient (-0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
-1.4w + 0.49 + w2 = -1 + 0.49

Reorder the terms:
0.49 + -1.4w + w2 = -1 + 0.49

Combine like terms: -1 + 0.49 = -0.51
0.49 + -1.4w + w2 = -0.51

Factor a perfect square on the left side:
(w + -0.7)(w + -0.7) = -0.51

Can't calculate square root of the right side.

The solution to this equation could not be determined.