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Simplifying (wx + -1y)(wx + -1y) = 0 Multiply (wx + -1y) * (wx + -1y) (wx(wx + -1y) + -1y * (wx + -1y)) = 0 ((wx * wx + -1y * wx) + -1y * (wx + -1y)) = 0 Reorder the terms: ((-1wxy + w2x2) + -1y * (wx + -1y)) = 0 ((-1wxy + w2x2) + -1y * (wx + -1y)) = 0 (-1wxy + w2x2 + (wx * -1y + -1y * -1y)) = 0 (-1wxy + w2x2 + (-1wxy + 1y2)) = 0 Reorder the terms: (-1wxy + -1wxy + w2x2 + 1y2) = 0 Combine like terms: -1wxy + -1wxy = -2wxy (-2wxy + w2x2 + 1y2) = 0 Solving -2wxy + w2x2 + 1y2 = 0 Solving for variable 'w'. Factor a trinomial. (wx + -1y)(wx + -1y) = 0Subproblem 1
Set the factor '(wx + -1y)' equal to zero and attempt to solve: Simplifying wx + -1y = 0 Solving wx + -1y = 0 Move all terms containing w to the left, all other terms to the right. Add 'y' to each side of the equation. wx + -1y + y = 0 + y Combine like terms: -1y + y = 0 wx + 0 = 0 + y wx = 0 + y Remove the zero: wx = y Divide each side by 'x'. w = x-1y Simplifying w = x-1ySubproblem 2
Set the factor '(wx + -1y)' equal to zero and attempt to solve: Simplifying wx + -1y = 0 Solving wx + -1y = 0 Move all terms containing w to the left, all other terms to the right. Add 'y' to each side of the equation. wx + -1y + y = 0 + y Combine like terms: -1y + y = 0 wx + 0 = 0 + y wx = 0 + y Remove the zero: wx = y Divide each side by 'x'. w = x-1y Simplifying w = x-1ySolution
w = {x-1y, x-1y}
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