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Simplifying v2 + -2vz + -80z2 = 0 Reorder the terms: -2vz + v2 + -80z2 = 0 Solving -2vz + v2 + -80z2 = 0 Solving for variable 'v'. Factor a trinomial. (v + -10z)(v + 8z) = 0Subproblem 1
Set the factor '(v + -10z)' equal to zero and attempt to solve: Simplifying v + -10z = 0 Solving v + -10z = 0 Move all terms containing v to the left, all other terms to the right. Add '10z' to each side of the equation. v + -10z + 10z = 0 + 10z Combine like terms: -10z + 10z = 0 v + 0 = 0 + 10z v = 0 + 10z Remove the zero: v = 10z Simplifying v = 10zSubproblem 2
Set the factor '(v + 8z)' equal to zero and attempt to solve: Simplifying v + 8z = 0 Solving v + 8z = 0 Move all terms containing v to the left, all other terms to the right. Add '-8z' to each side of the equation. v + 8z + -8z = 0 + -8z Combine like terms: 8z + -8z = 0 v + 0 = 0 + -8z v = 0 + -8z Remove the zero: v = -8z Simplifying v = -8zSolution
v = {10z, -8z}
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