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Simplifying w2 + -9wy + 18y2 = 0 Reorder the terms: -9wy + w2 + 18y2 = 0 Solving -9wy + w2 + 18y2 = 0 Solving for variable 'w'. Factor a trinomial. (w + -6y)(w + -3y) = 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 + -3y)' equal to zero and attempt to solve: Simplifying w + -3y = 0 Solving w + -3y = 0 Move all terms containing w to the left, all other terms to the right. Add '3y' to each side of the equation. w + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 w + 0 = 0 + 3y w = 0 + 3y Remove the zero: w = 3y Simplifying w = 3ySolution
w = {6y, 3y}
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