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

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


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

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

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

Multiply (2 + w) * (-1 + 2w)
(2(-1 + 2w) + w(-1 + 2w)) = (W + -2)(w + 5)
((-1 * 2 + 2w * 2) + w(-1 + 2w)) = (W + -2)(w + 5)
((-2 + 4w) + w(-1 + 2w)) = (W + -2)(w + 5)
(-2 + 4w + (-1 * w + 2w * w)) = (W + -2)(w + 5)
(-2 + 4w + (-1w + 2w2)) = (W + -2)(w + 5)

Combine like terms: 4w + -1w = 3w
(-2 + 3w + 2w2) = (W + -2)(w + 5)

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

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

Multiply (-2 + W) * (5 + w)
-2 + 3w + 2w2 = (-2(5 + w) + W(5 + w))
-2 + 3w + 2w2 = ((5 * -2 + w * -2) + W(5 + w))
-2 + 3w + 2w2 = ((-10 + -2w) + W(5 + w))
-2 + 3w + 2w2 = (-10 + -2w + (5 * W + w * W))
-2 + 3w + 2w2 = (-10 + -2w + (5W + wW))

Reorder the terms:
-2 + 3w + 2w2 = (-10 + 5W + -2w + wW)
-2 + 3w + 2w2 = (-10 + 5W + -2w + wW)

Solving
-2 + 3w + 2w2 = -10 + 5W + -2w + wW

Solving for variable 'w'.

Reorder the terms:
-2 + 10 + -5W + 3w + 2w + -1wW + 2w2 = -10 + 5W + -2w + wW + 10 + -5W + 2w + -1wW

Combine like terms: -2 + 10 = 8
8 + -5W + 3w + 2w + -1wW + 2w2 = -10 + 5W + -2w + wW + 10 + -5W + 2w + -1wW

Combine like terms: 3w + 2w = 5w
8 + -5W + 5w + -1wW + 2w2 = -10 + 5W + -2w + wW + 10 + -5W + 2w + -1wW

Reorder the terms:
8 + -5W + 5w + -1wW + 2w2 = -10 + 10 + 5W + -5W + -2w + 2w + wW + -1wW

Combine like terms: -10 + 10 = 0
8 + -5W + 5w + -1wW + 2w2 = 0 + 5W + -5W + -2w + 2w + wW + -1wW
8 + -5W + 5w + -1wW + 2w2 = 5W + -5W + -2w + 2w + wW + -1wW

Combine like terms: 5W + -5W = 0
8 + -5W + 5w + -1wW + 2w2 = 0 + -2w + 2w + wW + -1wW
8 + -5W + 5w + -1wW + 2w2 = -2w + 2w + wW + -1wW

Combine like terms: -2w + 2w = 0
8 + -5W + 5w + -1wW + 2w2 = 0 + wW + -1wW
8 + -5W + 5w + -1wW + 2w2 = wW + -1wW

Combine like terms: wW + -1wW = 0
8 + -5W + 5w + -1wW + 2w2 = 0

The solution to this equation could not be determined.

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