(W+3)(w-4)=(w-8)(w+6)

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Solution for (W+3)(w-4)=(w-8)(w+6) equation: 


Simplifying
(W + 3)(w + -4) = (w + -8)(w + 6)

Reorder the terms:
(3 + W)(w + -4) = (w + -8)(w + 6)

Reorder the terms:
(3 + W)(-4 + w) = (w + -8)(w + 6)

Multiply (3 + W) * (-4 + w)
(3(-4 + w) + W(-4 + w)) = (w + -8)(w + 6)
((-4 * 3 + w * 3) + W(-4 + w)) = (w + -8)(w + 6)
((-12 + 3w) + W(-4 + w)) = (w + -8)(w + 6)
(-12 + 3w + (-4 * W + w * W)) = (w + -8)(w + 6)
(-12 + 3w + (-4W + wW)) = (w + -8)(w + 6)

Reorder the terms:
(-12 + -4W + 3w + wW) = (w + -8)(w + 6)
(-12 + -4W + 3w + wW) = (w + -8)(w + 6)

Reorder the terms:
-12 + -4W + 3w + wW = (-8 + w)(w + 6)

Reorder the terms:
-12 + -4W + 3w + wW = (-8 + w)(6 + w)

Multiply (-8 + w) * (6 + w)
-12 + -4W + 3w + wW = (-8(6 + w) + w(6 + w))
-12 + -4W + 3w + wW = ((6 * -8 + w * -8) + w(6 + w))
-12 + -4W + 3w + wW = ((-48 + -8w) + w(6 + w))
-12 + -4W + 3w + wW = (-48 + -8w + (6 * w + w * w))
-12 + -4W + 3w + wW = (-48 + -8w + (6w + w2))

Combine like terms: -8w + 6w = -2w
-12 + -4W + 3w + wW = (-48 + -2w + w2)

Solving
-12 + -4W + 3w + wW = -48 + -2w + w2

Solving for variable 'W'.

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

Add '12' to each side of the equation.
-12 + -4W + 3w + 12 + wW = -48 + -2w + 12 + w2

Reorder the terms:
-12 + 12 + -4W + 3w + wW = -48 + -2w + 12 + w2

Combine like terms: -12 + 12 = 0
0 + -4W + 3w + wW = -48 + -2w + 12 + w2
-4W + 3w + wW = -48 + -2w + 12 + w2

Reorder the terms:
-4W + 3w + wW = -48 + 12 + -2w + w2

Combine like terms: -48 + 12 = -36
-4W + 3w + wW = -36 + -2w + w2

Add '-3w' to each side of the equation.
-4W + 3w + -3w + wW = -36 + -2w + -3w + w2

Combine like terms: 3w + -3w = 0
-4W + 0 + wW = -36 + -2w + -3w + w2
-4W + wW = -36 + -2w + -3w + w2

Combine like terms: -2w + -3w = -5w
-4W + wW = -36 + -5w + w2

Reorder the terms:
36 + -4W + 5w + wW + -1w2 = -36 + -5w + w2 + 36 + 5w + -1w2

Reorder the terms:
36 + -4W + 5w + wW + -1w2 = -36 + 36 + -5w + 5w + w2 + -1w2

Combine like terms: -36 + 36 = 0
36 + -4W + 5w + wW + -1w2 = 0 + -5w + 5w + w2 + -1w2
36 + -4W + 5w + wW + -1w2 = -5w + 5w + w2 + -1w2

Combine like terms: -5w + 5w = 0
36 + -4W + 5w + wW + -1w2 = 0 + w2 + -1w2
36 + -4W + 5w + wW + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
36 + -4W + 5w + wW + -1w2 = 0

The solution to this equation could not be determined.

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