-2w(w+1)+5w=3(w+1)-2

Solution for -2w(w+1)+5w=3(w+1)-2 equation:

Simplifying
-2w(w + 1) + 5w = 3(w + 1) + -2

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

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

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

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

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

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

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

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

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

Solving
-2w2 = 1

Solving for variable 'w'.

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

Divide each side by '-2'.
w2 = -0.5

Simplifying
w2 = -0.5

Reorder the terms:
0.5 + w2 = -0.5 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.5 + w2 = 0.0

The solution to this equation could not be determined.