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Simplifying w2 + 8wy + 16y2 = 0 Reorder the terms: 8wy + w2 + 16y2 = 0 Solving 8wy + w2 + 16y2 = 0 Solving for variable 'w'. Factor a trinomial. (w + 4y)(w + 4y) = 0Subproblem 1
Set the factor '(w + 4y)' equal to zero and attempt to solve: Simplifying w + 4y = 0 Solving w + 4y = 0 Move all terms containing w to the left, all other terms to the right. Add '-4y' to each side of the equation. w + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 w + 0 = 0 + -4y w = 0 + -4y Remove the zero: w = -4y Simplifying w = -4ySubproblem 2
Set the factor '(w + 4y)' equal to zero and attempt to solve: Simplifying w + 4y = 0 Solving w + 4y = 0 Move all terms containing w to the left, all other terms to the right. Add '-4y' to each side of the equation. w + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 w + 0 = 0 + -4y w = 0 + -4y Remove the zero: w = -4y Simplifying w = -4ySolution
w = {-4y, -4y}
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