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Simplifying v2 + 9vz + 18z2 = 0 Reorder the terms: 9vz + v2 + 18z2 = 0 Solving 9vz + v2 + 18z2 = 0 Solving for variable 'v'. Factor a trinomial. (v + 3z)(v + 6z) = 0Subproblem 1
Set the factor '(v + 3z)' equal to zero and attempt to solve: Simplifying v + 3z = 0 Solving v + 3z = 0 Move all terms containing v to the left, all other terms to the right. Add '-3z' to each side of the equation. v + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 v + 0 = 0 + -3z v = 0 + -3z Remove the zero: v = -3z Simplifying v = -3zSubproblem 2
Set the factor '(v + 6z)' equal to zero and attempt to solve: Simplifying v + 6z = 0 Solving v + 6z = 0 Move all terms containing v to the left, all other terms to the right. Add '-6z' to each side of the equation. v + 6z + -6z = 0 + -6z Combine like terms: 6z + -6z = 0 v + 0 = 0 + -6z v = 0 + -6z Remove the zero: v = -6z Simplifying v = -6zSolution
v = {-3z, -6z}
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