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Simplifying w2 + -4wy + -12y2 = 0 Reorder the terms: -4wy + w2 + -12y2 = 0 Solving -4wy + w2 + -12y2 = 0 Solving for variable 'w'. Factor a trinomial. (w + -6y)(w + 2y) = 0Subproblem 1
Set the factor '(w + -6y)' equal to zero and attempt to solve: Simplifying w + -6y = 0 Solving w + -6y = 0 Move all terms containing w to the left, all other terms to the right. Add '6y' to each side of the equation. w + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 w + 0 = 0 + 6y w = 0 + 6y Remove the zero: w = 6y Simplifying w = 6ySubproblem 2
Set the factor '(w + 2y)' equal to zero and attempt to solve: Simplifying w + 2y = 0 Solving w + 2y = 0 Move all terms containing w to the left, all other terms to the right. Add '-2y' to each side of the equation. w + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 w + 0 = 0 + -2y w = 0 + -2y Remove the zero: w = -2y Simplifying w = -2ySolution
w = {6y, -2y}
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