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Simplifying V2 = 12 + -4V Solving V2 = 12 + -4V Solving for variable 'V'. Reorder the terms: -12 + 4V + V2 = 12 + -4V + -12 + 4V Reorder the terms: -12 + 4V + V2 = 12 + -12 + -4V + 4V Combine like terms: 12 + -12 = 0 -12 + 4V + V2 = 0 + -4V + 4V -12 + 4V + V2 = -4V + 4V Combine like terms: -4V + 4V = 0 -12 + 4V + V2 = 0 Factor a trinomial. (-6 + -1V)(2 + -1V) = 0Subproblem 1
Set the factor '(-6 + -1V)' equal to zero and attempt to solve: Simplifying -6 + -1V = 0 Solving -6 + -1V = 0 Move all terms containing V to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1V = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1V = 0 + 6 -1V = 0 + 6 Combine like terms: 0 + 6 = 6 -1V = 6 Divide each side by '-1'. V = -6 Simplifying V = -6Subproblem 2
Set the factor '(2 + -1V)' equal to zero and attempt to solve: Simplifying 2 + -1V = 0 Solving 2 + -1V = 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 + -1V = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1V = 0 + -2 -1V = 0 + -2 Combine like terms: 0 + -2 = -2 -1V = -2 Divide each side by '-1'. V = 2 Simplifying V = 2Solution
V = {-6, 2}
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