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Simplifying V2 + 6V + 9 = 2V2 + 3V + -1 Reorder the terms: 9 + 6V + V2 = 2V2 + 3V + -1 Reorder the terms: 9 + 6V + V2 = -1 + 3V + 2V2 Solving 9 + 6V + V2 = -1 + 3V + 2V2 Solving for variable 'V'. Reorder the terms: 9 + 1 + 6V + -3V + V2 + -2V2 = -1 + 3V + 2V2 + 1 + -3V + -2V2 Combine like terms: 9 + 1 = 10 10 + 6V + -3V + V2 + -2V2 = -1 + 3V + 2V2 + 1 + -3V + -2V2 Combine like terms: 6V + -3V = 3V 10 + 3V + V2 + -2V2 = -1 + 3V + 2V2 + 1 + -3V + -2V2 Combine like terms: V2 + -2V2 = -1V2 10 + 3V + -1V2 = -1 + 3V + 2V2 + 1 + -3V + -2V2 Reorder the terms: 10 + 3V + -1V2 = -1 + 1 + 3V + -3V + 2V2 + -2V2 Combine like terms: -1 + 1 = 0 10 + 3V + -1V2 = 0 + 3V + -3V + 2V2 + -2V2 10 + 3V + -1V2 = 3V + -3V + 2V2 + -2V2 Combine like terms: 3V + -3V = 0 10 + 3V + -1V2 = 0 + 2V2 + -2V2 10 + 3V + -1V2 = 2V2 + -2V2 Combine like terms: 2V2 + -2V2 = 0 10 + 3V + -1V2 = 0 Factor a trinomial. (5 + -1V)(2 + V) = 0Subproblem 1
Set the factor '(5 + -1V)' equal to zero and attempt to solve: Simplifying 5 + -1V = 0 Solving 5 + -1V = 0 Move all terms containing V to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1V = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1V = 0 + -5 -1V = 0 + -5 Combine like terms: 0 + -5 = -5 -1V = -5 Divide each side by '-1'. V = 5 Simplifying V = 5Subproblem 2
Set the factor '(2 + V)' equal to zero and attempt to solve: Simplifying 2 + V = 0 Solving 2 + V = 0 Move all terms containing V to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + V = 0 + -2 Combine like terms: 2 + -2 = 0 0 + V = 0 + -2 V = 0 + -2 Combine like terms: 0 + -2 = -2 V = -2 Simplifying V = -2Solution
V = {5, -2}
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