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Simplifying w2 + -9wz + 20z2 = 0 Reorder the terms: -9wz + w2 + 20z2 = 0 Solving -9wz + w2 + 20z2 = 0 Solving for variable 'w'. Factor a trinomial. (w + -5z)(w + -4z) = 0Subproblem 1
Set the factor '(w + -5z)' equal to zero and attempt to solve: Simplifying w + -5z = 0 Solving w + -5z = 0 Move all terms containing w to the left, all other terms to the right. Add '5z' to each side of the equation. w + -5z + 5z = 0 + 5z Combine like terms: -5z + 5z = 0 w + 0 = 0 + 5z w = 0 + 5z Remove the zero: w = 5z Simplifying w = 5zSubproblem 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 = {5z, 4z}
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