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Simplifying v2 + -4vz + -45z2 = 0 Reorder the terms: -4vz + v2 + -45z2 = 0 Solving -4vz + v2 + -45z2 = 0 Solving for variable 'v'. Factor a trinomial. (v + -9z)(v + 5z) = 0Subproblem 1
Set the factor '(v + -9z)' equal to zero and attempt to solve: Simplifying v + -9z = 0 Solving v + -9z = 0 Move all terms containing v to the left, all other terms to the right. Add '9z' to each side of the equation. v + -9z + 9z = 0 + 9z Combine like terms: -9z + 9z = 0 v + 0 = 0 + 9z v = 0 + 9z Remove the zero: v = 9z Simplifying v = 9zSubproblem 2
Set the factor '(v + 5z)' equal to zero and attempt to solve: Simplifying v + 5z = 0 Solving v + 5z = 0 Move all terms containing v to the left, all other terms to the right. Add '-5z' to each side of the equation. v + 5z + -5z = 0 + -5z Combine like terms: 5z + -5z = 0 v + 0 = 0 + -5z v = 0 + -5z Remove the zero: v = -5z Simplifying v = -5zSolution
v = {9z, -5z}
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