12x(y+3w)-2x(2y+4w)=0

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Solution for 12x(y+3w)-2x(2y+4w)=0 equation:


Simplifying
12x(y + 3w) + -2x(2y + 4w) = 0

Reorder the terms:
12x(3w + y) + -2x(2y + 4w) = 0
(3w * 12x + y * 12x) + -2x(2y + 4w) = 0
(36wx + 12xy) + -2x(2y + 4w) = 0

Reorder the terms:
36wx + 12xy + -2x(4w + 2y) = 0
36wx + 12xy + (4w * -2x + 2y * -2x) = 0
36wx + 12xy + (-8wx + -4xy) = 0

Reorder the terms:
36wx + -8wx + 12xy + -4xy = 0

Combine like terms: 36wx + -8wx = 28wx
28wx + 12xy + -4xy = 0

Combine like terms: 12xy + -4xy = 8xy
28wx + 8xy = 0

Solving
28wx + 8xy = 0

Solving for variable 'w'.

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

Add '-8xy' to each side of the equation.
28wx + 8xy + -8xy = 0 + -8xy

Combine like terms: 8xy + -8xy = 0
28wx + 0 = 0 + -8xy
28wx = 0 + -8xy
Remove the zero:
28wx = -8xy

Divide each side by '28x'.
w = -0.2857142857y

Simplifying
w = -0.2857142857y

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