w(a-b)=w(b+a)

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Solution for w(a-b)=w(b+a) equation:


Simplifying
w(a + -1b) = w(b + a)
(a * w + -1b * w) = w(b + a)
(aw + -1bw) = w(b + a)

Reorder the terms:
aw + -1bw = w(a + b)
aw + -1bw = (a * w + b * w)
aw + -1bw = (aw + bw)

Add '-1aw' to each side of the equation.
aw + -1aw + -1bw = aw + -1aw + bw

Combine like terms: aw + -1aw = 0
0 + -1bw = aw + -1aw + bw
-1bw = aw + -1aw + bw

Combine like terms: aw + -1aw = 0
-1bw = 0 + bw
-1bw = bw

Solving
-1bw = bw

Solving for variable 'b'.

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

Add '-1bw' to each side of the equation.
-1bw + -1bw = bw + -1bw

Combine like terms: -1bw + -1bw = -2bw
-2bw = bw + -1bw

Combine like terms: bw + -1bw = 0
-2bw = 0

Divide each side by '-2'.
bw = 0

Simplifying
bw = 0

The solution to this equation could not be determined.

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