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Simplifying 3V2 + 10V + -8 = 0 Reorder the terms: -8 + 10V + 3V2 = 0 Solving -8 + 10V + 3V2 = 0 Solving for variable 'V'. Factor a trinomial. (-4 + -1V)(2 + -3V) = 0Subproblem 1
Set the factor '(-4 + -1V)' equal to zero and attempt to solve: Simplifying -4 + -1V = 0 Solving -4 + -1V = 0 Move all terms containing V to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1V = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1V = 0 + 4 -1V = 0 + 4 Combine like terms: 0 + 4 = 4 -1V = 4 Divide each side by '-1'. V = -4 Simplifying V = -4Subproblem 2
Set the factor '(2 + -3V)' equal to zero and attempt to solve: Simplifying 2 + -3V = 0 Solving 2 + -3V = 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 + -3V = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3V = 0 + -2 -3V = 0 + -2 Combine like terms: 0 + -2 = -2 -3V = -2 Divide each side by '-3'. V = 0.6666666667 Simplifying V = 0.6666666667Solution
V = {-4, 0.6666666667}
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