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Simplifying 2V3 + -60V + 14V2 = 0 Reorder the terms: -60V + 14V2 + 2V3 = 0 Solving -60V + 14V2 + 2V3 = 0 Solving for variable 'V'. Factor out the Greatest Common Factor (GCF), '2V'. 2V(-30 + 7V + V2) = 0 Factor a trinomial. 2V((-10 + -1V)(3 + -1V)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'V' equal to zero and attempt to solve: Simplifying V = 0 Solving V = 0 Move all terms containing V to the left, all other terms to the right. Simplifying V = 0Subproblem 2
Set the factor '(-10 + -1V)' equal to zero and attempt to solve: Simplifying -10 + -1V = 0 Solving -10 + -1V = 0 Move all terms containing V to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1V = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1V = 0 + 10 -1V = 0 + 10 Combine like terms: 0 + 10 = 10 -1V = 10 Divide each side by '-1'. V = -10 Simplifying V = -10Subproblem 3
Set the factor '(3 + -1V)' equal to zero and attempt to solve: Simplifying 3 + -1V = 0 Solving 3 + -1V = 0 Move all terms containing V to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1V = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1V = 0 + -3 -1V = 0 + -3 Combine like terms: 0 + -3 = -3 -1V = -3 Divide each side by '-1'. V = 3 Simplifying V = 3Solution
V = {0, -10, 3}
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