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Simplifying w2 + 8wz + 16z2 = 0 Reorder the terms: 8wz + w2 + 16z2 = 0 Solving 8wz + w2 + 16z2 = 0 Solving for variable 'w'. Factor a trinomial. (w + 4z)(w + 4z) = 0Subproblem 1
Set the factor '(w + 4z)' equal to zero and attempt to solve: Simplifying w + 4z = 0 Solving w + 4z = 0 Move all terms containing w to the left, all other terms to the right. Add '-4z' to each side of the equation. w + 4z + -4z = 0 + -4z Combine like terms: 4z + -4z = 0 w + 0 = 0 + -4z w = 0 + -4z Remove the zero: w = -4z Simplifying w = -4zSubproblem 2
Set the factor '(w + 4z)' equal to zero and attempt to solve: Simplifying w + 4z = 0 Solving w + 4z = 0 Move all terms containing w to the left, all other terms to the right. Add '-4z' to each side of the equation. w + 4z + -4z = 0 + -4z Combine like terms: 4z + -4z = 0 w + 0 = 0 + -4z w = 0 + -4z Remove the zero: w = -4z Simplifying w = -4zSolution
w = {-4z, -4z}
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