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Simplifying w2 + -4wz + -60z2 = 0 Reorder the terms: -4wz + w2 + -60z2 = 0 Solving -4wz + w2 + -60z2 = 0 Solving for variable 'w'. Factor a trinomial. (w + -10z)(w + 6z) = 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 + 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 = -6zSolution
w = {10z, -6z}
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