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

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


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

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

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

Multiply (2 + W) * (-1 + 2w)
(2(-1 + 2w) + W(-1 + 2w)) = (W + -2) + 5
((-1 * 2 + 2w * 2) + W(-1 + 2w)) = (W + -2) + 5
((-2 + 4w) + W(-1 + 2w)) = (W + -2) + 5
(-2 + 4w + (-1 * W + 2w * W)) = (W + -2) + 5
(-2 + 4w + (-1W + 2wW)) = (W + -2) + 5

Reorder the terms:
(-2 + -1W + 4w + 2wW) = (W + -2) + 5
(-2 + -1W + 4w + 2wW) = (W + -2) + 5

Reorder the terms:
-2 + -1W + 4w + 2wW = (-2 + W) + 5

Remove parenthesis around (-2 + W)
-2 + -1W + 4w + 2wW = -2 + W + 5

Reorder the terms:
-2 + -1W + 4w + 2wW = -2 + 5 + W

Combine like terms: -2 + 5 = 3
-2 + -1W + 4w + 2wW = 3 + W

Solving
-2 + -1W + 4w + 2wW = 3 + W

Solving for variable 'W'.

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

Add '-1W' to each side of the equation.
-2 + -1W + 4w + -1W + 2wW = 3 + W + -1W

Reorder the terms:
-2 + -1W + -1W + 4w + 2wW = 3 + W + -1W

Combine like terms: -1W + -1W = -2W
-2 + -2W + 4w + 2wW = 3 + W + -1W

Combine like terms: W + -1W = 0
-2 + -2W + 4w + 2wW = 3 + 0
-2 + -2W + 4w + 2wW = 3

Add '2' to each side of the equation.
-2 + -2W + 4w + 2 + 2wW = 3 + 2

Reorder the terms:
-2 + 2 + -2W + 4w + 2wW = 3 + 2

Combine like terms: -2 + 2 = 0
0 + -2W + 4w + 2wW = 3 + 2
-2W + 4w + 2wW = 3 + 2

Combine like terms: 3 + 2 = 5
-2W + 4w + 2wW = 5

Add '-4w' to each side of the equation.
-2W + 4w + -4w + 2wW = 5 + -4w

Combine like terms: 4w + -4w = 0
-2W + 0 + 2wW = 5 + -4w
-2W + 2wW = 5 + -4w

Reorder the terms:
-5 + -2W + 4w + 2wW = 5 + -4w + -5 + 4w

Reorder the terms:
-5 + -2W + 4w + 2wW = 5 + -5 + -4w + 4w

Combine like terms: 5 + -5 = 0
-5 + -2W + 4w + 2wW = 0 + -4w + 4w
-5 + -2W + 4w + 2wW = -4w + 4w

Combine like terms: -4w + 4w = 0
-5 + -2W + 4w + 2wW = 0

The solution to this equation could not be determined.

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