-5w(w+1)=-3(5w-1)+4w

Solution for -5w(w+1)=-3(5w-1)+4w equation:

Simplifying
-5w(w + 1) = -3(5w + -1) + 4w

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

Reorder the terms:
-5w + -5w2 = -3(-1 + 5w) + 4w
-5w + -5w2 = (-1 * -3 + 5w * -3) + 4w
-5w + -5w2 = (3 + -15w) + 4w

Combine like terms: -15w + 4w = -11w
-5w + -5w2 = 3 + -11w

Solving
-5w + -5w2 = 3 + -11w

Solving for variable 'w'.

Reorder the terms:
-3 + -5w + 11w + -5w2 = 3 + -11w + -3 + 11w

Combine like terms: -5w + 11w = 6w
-3 + 6w + -5w2 = 3 + -11w + -3 + 11w

Reorder the terms:
-3 + 6w + -5w2 = 3 + -3 + -11w + 11w

Combine like terms: 3 + -3 = 0
-3 + 6w + -5w2 = 0 + -11w + 11w
-3 + 6w + -5w2 = -11w + 11w

Combine like terms: -11w + 11w = 0
-3 + 6w + -5w2 = 0

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

Divide each side by '-5'.
0.6 + -1.2w + w2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -1.2w + -0.6 + w2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + -1.2w + w2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -1.2w + w2 = 0 + -0.6
-1.2w + w2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
-1.2w + w2 = -0.6

The w term is -1.2w.  Take half its coefficient (-0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
-1.2w + 0.36 + w2 = -0.6 + 0.36

Reorder the terms:
0.36 + -1.2w + w2 = -0.6 + 0.36

Combine like terms: -0.6 + 0.36 = -0.24
0.36 + -1.2w + w2 = -0.24

Factor a perfect square on the left side:
(w + -0.6)(w + -0.6) = -0.24

Can't calculate square root of the right side.

The solution to this equation could not be determined.