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Simplifying 12V3 + -13V2 + -35V = 0 Reorder the terms: -35V + -13V2 + 12V3 = 0 Solving -35V + -13V2 + 12V3 = 0 Solving for variable 'V'. Factor out the Greatest Common Factor (GCF), 'V'. V(-35 + -13V + 12V2) = 0 Factor a trinomial. V((-5 + -4V)(7 + -3V)) = 0Subproblem 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 '(-5 + -4V)' equal to zero and attempt to solve: Simplifying -5 + -4V = 0 Solving -5 + -4V = 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 + -4V = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4V = 0 + 5 -4V = 0 + 5 Combine like terms: 0 + 5 = 5 -4V = 5 Divide each side by '-4'. V = -1.25 Simplifying V = -1.25Subproblem 3
Set the factor '(7 + -3V)' equal to zero and attempt to solve: Simplifying 7 + -3V = 0 Solving 7 + -3V = 0 Move all terms containing V to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3V = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3V = 0 + -7 -3V = 0 + -7 Combine like terms: 0 + -7 = -7 -3V = -7 Divide each side by '-3'. V = 2.333333333 Simplifying V = 2.333333333Solution
V = {0, -1.25, 2.333333333}
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