w(w)+w(x)-w(y)=

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Solution for w(w)+w(x)-w(y)= equation:


Simplifying
w(w) + w(x) + -1w(y) = 0

Multiply w * w
w2 + w(x) + -1w(y) = 0

Multiply w * x
w2 + wx + -1w(y) = 0

Multiply w * y
w2 + wx + -1wy = 0

Reorder the terms:
wx + -1wy + w2 = 0

Solving
wx + -1wy + w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(x + -1y + w) = 0

Subproblem 1

Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0

Subproblem 2

Set the factor '(x + -1y + w)' equal to zero and attempt to solve: Simplifying x + -1y + w = 0 Reorder the terms: w + x + -1y = 0 Solving w + x + -1y = 0 Move all terms containing w to the left, all other terms to the right. Add '-1x' to each side of the equation. w + x + -1x + -1y = 0 + -1x Combine like terms: x + -1x = 0 w + 0 + -1y = 0 + -1x w + -1y = 0 + -1x Remove the zero: w + -1y = -1x Add 'y' to each side of the equation. w + -1y + y = -1x + y Combine like terms: -1y + y = 0 w + 0 = -1x + y w = -1x + y Simplifying w = -1x + y

Solution

w = {0, -1x + y}

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