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Simplifying w2 + -14wz + 40z2 = 0 Reorder the terms: -14wz + w2 + 40z2 = 0 Solving -14wz + w2 + 40z2 = 0 Solving for variable 'w'. Factor a trinomial. (w + -10z)(w + -4z) = 0Subproblem 1
Set the factor '(w + -10z)' equal to zero and attempt to solve: Simplifying w + -10z = 0 Solving w + -10z = 0 Move all terms containing w to the left, all other terms to the right. Add '10z' to each side of the equation. w + -10z + 10z = 0 + 10z Combine like terms: -10z + 10z = 0 w + 0 = 0 + 10z w = 0 + 10z Remove the zero: w = 10z Simplifying w = 10zSubproblem 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 = {10z, 4z}
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