w(w+12)=w(w+14)+12

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Solution for w(w+12)=w(w+14)+12 equation: 


Simplifying
w(w + 12) = w(w + 14) + 12

Reorder the terms:
w(12 + w) = w(w + 14) + 12
(12 * w + w * w) = w(w + 14) + 12
(12w + w2) = w(w + 14) + 12

Reorder the terms:
12w + w2 = w(14 + w) + 12
12w + w2 = (14 * w + w * w) + 12
12w + w2 = (14w + w2) + 12

Reorder the terms:
12w + w2 = 12 + 14w + w2

Add '-1w2' to each side of the equation.
12w + w2 + -1w2 = 12 + 14w + w2 + -1w2

Combine like terms: w2 + -1w2 = 0
12w + 0 = 12 + 14w + w2 + -1w2
12w = 12 + 14w + w2 + -1w2

Combine like terms: w2 + -1w2 = 0
12w = 12 + 14w + 0
12w = 12 + 14w

Solving
12w = 12 + 14w

Solving for variable 'w'.

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

Add '-14w' to each side of the equation.
12w + -14w = 12 + 14w + -14w

Combine like terms: 12w + -14w = -2w
-2w = 12 + 14w + -14w

Combine like terms: 14w + -14w = 0
-2w = 12 + 0
-2w = 12

Divide each side by '-2'.
w = -6

Simplifying
w = -6

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