(W+6)(w+2)-w(w+4)=112

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Solution for (W+6)(w+2)-w(w+4)=112 equation: 


Simplifying
(W + 6)(w + 2) + -1w(w + 4) = 112

Reorder the terms:
(6 + W)(w + 2) + -1w(w + 4) = 112

Reorder the terms:
(6 + W)(2 + w) + -1w(w + 4) = 112

Multiply (6 + W) * (2 + w)
(6(2 + w) + W(2 + w)) + -1w(w + 4) = 112
((2 * 6 + w * 6) + W(2 + w)) + -1w(w + 4) = 112
((12 + 6w) + W(2 + w)) + -1w(w + 4) = 112
(12 + 6w + (2 * W + w * W)) + -1w(w + 4) = 112
(12 + 6w + (2W + wW)) + -1w(w + 4) = 112

Reorder the terms:
(12 + 2W + 6w + wW) + -1w(w + 4) = 112
(12 + 2W + 6w + wW) + -1w(w + 4) = 112

Reorder the terms:
12 + 2W + 6w + wW + -1w(4 + w) = 112
12 + 2W + 6w + wW + (4 * -1w + w * -1w) = 112
12 + 2W + 6w + wW + (-4w + -1w2) = 112

Reorder the terms:
12 + 2W + 6w + -4w + wW + -1w2 = 112

Combine like terms: 6w + -4w = 2w
12 + 2W + 2w + wW + -1w2 = 112

Solving
12 + 2W + 2w + wW + -1w2 = 112

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 + 2W + 2w + wW + -12 + -1w2 = 112 + -12

Reorder the terms:
12 + -12 + 2W + 2w + wW + -1w2 = 112 + -12

Combine like terms: 12 + -12 = 0
0 + 2W + 2w + wW + -1w2 = 112 + -12
2W + 2w + wW + -1w2 = 112 + -12

Combine like terms: 112 + -12 = 100
2W + 2w + wW + -1w2 = 100

Add '-2w' to each side of the equation.
2W + 2w + wW + -2w + -1w2 = 100 + -2w

Reorder the terms:
2W + 2w + -2w + wW + -1w2 = 100 + -2w

Combine like terms: 2w + -2w = 0
2W + 0 + wW + -1w2 = 100 + -2w
2W + wW + -1w2 = 100 + -2w

Add 'w2' to each side of the equation.
2W + wW + -1w2 + w2 = 100 + -2w + w2

Combine like terms: -1w2 + w2 = 0
2W + wW + 0 = 100 + -2w + w2
2W + wW = 100 + -2w + w2

Reorder the terms:
-100 + 2W + 2w + wW + -1w2 = 100 + -2w + w2 + -100 + 2w + -1w2

Reorder the terms:
-100 + 2W + 2w + wW + -1w2 = 100 + -100 + -2w + 2w + w2 + -1w2

Combine like terms: 100 + -100 = 0
-100 + 2W + 2w + wW + -1w2 = 0 + -2w + 2w + w2 + -1w2
-100 + 2W + 2w + wW + -1w2 = -2w + 2w + w2 + -1w2

Combine like terms: -2w + 2w = 0
-100 + 2W + 2w + wW + -1w2 = 0 + w2 + -1w2
-100 + 2W + 2w + wW + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
-100 + 2W + 2w + wW + -1w2 = 0

The solution to this equation could not be determined.

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