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Simplifying w2 + -5wz + -14z2 = 0 Reorder the terms: -5wz + w2 + -14z2 = 0 Solving -5wz + w2 + -14z2 = 0 Solving for variable 'w'. Factor a trinomial. (w + -7z)(w + 2z) = 0Subproblem 1
Set the factor '(w + -7z)' equal to zero and attempt to solve: Simplifying w + -7z = 0 Solving w + -7z = 0 Move all terms containing w to the left, all other terms to the right. Add '7z' to each side of the equation. w + -7z + 7z = 0 + 7z Combine like terms: -7z + 7z = 0 w + 0 = 0 + 7z w = 0 + 7z Remove the zero: w = 7z Simplifying w = 7zSubproblem 2
Set the factor '(w + 2z)' equal to zero and attempt to solve: Simplifying w + 2z = 0 Solving w + 2z = 0 Move all terms containing w to the left, all other terms to the right. Add '-2z' to each side of the equation. w + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 w + 0 = 0 + -2z w = 0 + -2z Remove the zero: w = -2z Simplifying w = -2zSolution
w = {7z, -2z}
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