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Simplifying v2 + -4vz + -12z2 = 0 Reorder the terms: -4vz + v2 + -12z2 = 0 Solving -4vz + v2 + -12z2 = 0 Solving for variable 'v'. Factor a trinomial. (v + -6z)(v + 2z) = 0Subproblem 1
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 = 6zSubproblem 2
Set the factor '(v + 2z)' equal to zero and attempt to solve: Simplifying v + 2z = 0 Solving v + 2z = 0 Move all terms containing v to the left, all other terms to the right. Add '-2z' to each side of the equation. v + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 v + 0 = 0 + -2z v = 0 + -2z Remove the zero: v = -2z Simplifying v = -2zSolution
v = {6z, -2z}
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