(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 = -60
-4W + -3w + wW = -60 + -2w + w2

Add '3w' to each side of the equation.
-4W + -3w + 3w + wW = -60 + -2w + 3w + w2

Combine like terms: -3w + 3w = 0
-4W + 0 + wW = -60 + -2w + 3w + w2
-4W + wW = -60 + -2w + 3w + w2

Combine like terms: -2w + 3w = 1w
-4W + wW = -60 + 1w + w2

Reorder the terms:
60 + -4W + -1w + wW + -1w2 = -60 + 1w + w2 + 60 + -1w + -1w2

Reorder the terms:
60 + -4W + -1w + wW + -1w2 = -60 + 60 + 1w + -1w + w2 + -1w2

Combine like terms: -60 + 60 = 0
60 + -4W + -1w + wW + -1w2 = 0 + 1w + -1w + w2 + -1w2
60 + -4W + -1w + wW + -1w2 = 1w + -1w + w2 + -1w2

Combine like terms: 1w + -1w = 0
60 + -4W + -1w + wW + -1w2 = 0 + w2 + -1w2
60 + -4W + -1w + wW + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
60 + -4W + -1w + wW + -1w2 = 0

The solution to this equation could not be determined.

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