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Simplifying (V + 5)(V + 3) = 0 Reorder the terms: (5 + V)(V + 3) = 0 Reorder the terms: (5 + V)(3 + V) = 0 Multiply (5 + V) * (3 + V) (5(3 + V) + V(3 + V)) = 0 ((3 * 5 + V * 5) + V(3 + V)) = 0 ((15 + 5V) + V(3 + V)) = 0 (15 + 5V + (3 * V + V * V)) = 0 (15 + 5V + (3V + V2)) = 0 Combine like terms: 5V + 3V = 8V (15 + 8V + V2) = 0 Solving 15 + 8V + V2 = 0 Solving for variable 'V'. Factor a trinomial. (5 + V)(3 + V) = 0Subproblem 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 '(3 + V)' equal to zero and attempt to solve: Simplifying 3 + V = 0 Solving 3 + V = 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 + V = 0 + -3 Combine like terms: 3 + -3 = 0 0 + V = 0 + -3 V = 0 + -3 Combine like terms: 0 + -3 = -3 V = -3 Simplifying V = -3Solution
V = {-5, -3}
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