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Simplifying w2 + 13wz + 42z2 = 0 Reorder the terms: 13wz + w2 + 42z2 = 0 Solving 13wz + w2 + 42z2 = 0 Solving for variable 'w'. Factor a trinomial. (w + 6z)(w + 7z) = 0Subproblem 1
Set the factor '(w + 6z)' equal to zero and attempt to solve: Simplifying w + 6z = 0 Solving w + 6z = 0 Move all terms containing w to the left, all other terms to the right. Add '-6z' to each side of the equation. w + 6z + -6z = 0 + -6z Combine like terms: 6z + -6z = 0 w + 0 = 0 + -6z w = 0 + -6z Remove the zero: w = -6z Simplifying w = -6zSubproblem 2
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 = -7zSolution
w = {-6z, -7z}
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