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Simplifying -21V + -5 = 4V2 Reorder the terms: -5 + -21V = 4V2 Solving -5 + -21V = 4V2 Solving for variable 'V'. Combine like terms: 4V2 + -4V2 = 0 -5 + -21V + -4V2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(5 + 21V + 4V2) = 0 Factor a trinomial. -1((5 + V)(1 + 4V)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + V)' equal to zero and attempt to solve: Simplifying 5 + V = 0 Solving 5 + V = 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 + V = 0 + -5 Combine like terms: 5 + -5 = 0 0 + V = 0 + -5 V = 0 + -5 Combine like terms: 0 + -5 = -5 V = -5 Simplifying V = -5Subproblem 2
Set the factor '(1 + 4V)' equal to zero and attempt to solve: Simplifying 1 + 4V = 0 Solving 1 + 4V = 0 Move all terms containing V to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4V = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4V = 0 + -1 4V = 0 + -1 Combine like terms: 0 + -1 = -1 4V = -1 Divide each side by '4'. V = -0.25 Simplifying V = -0.25Solution
V = {-5, -0.25}
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