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Simplifying y2 + -6yw + 9w2 = 0 Reorder the terms: -6wy + 9w2 + y2 = 0 Solving -6wy + 9w2 + y2 = 0 Solving for variable 'w'. Factor a trinomial. (3w + -1y)(3w + -1y) = 0Subproblem 1
Set the factor '(3w + -1y)' equal to zero and attempt to solve: Simplifying 3w + -1y = 0 Solving 3w + -1y = 0 Move all terms containing w to the left, all other terms to the right. Add 'y' to each side of the equation. 3w + -1y + y = 0 + y Combine like terms: -1y + y = 0 3w + 0 = 0 + y 3w = 0 + y Remove the zero: 3w = y Divide each side by '3'. w = 0.3333333333y Simplifying w = 0.3333333333ySubproblem 2
Set the factor '(3w + -1y)' equal to zero and attempt to solve: Simplifying 3w + -1y = 0 Solving 3w + -1y = 0 Move all terms containing w to the left, all other terms to the right. Add 'y' to each side of the equation. 3w + -1y + y = 0 + y Combine like terms: -1y + y = 0 3w + 0 = 0 + y 3w = 0 + y Remove the zero: 3w = y Divide each side by '3'. w = 0.3333333333y Simplifying w = 0.3333333333ySolution
w = {0.3333333333y, 0.3333333333y}
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