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Simplifying (2V + -3)(5 + V) = 0 Reorder the terms: (-3 + 2V)(5 + V) = 0 Multiply (-3 + 2V) * (5 + V) (-3(5 + V) + 2V * (5 + V)) = 0 ((5 * -3 + V * -3) + 2V * (5 + V)) = 0 ((-15 + -3V) + 2V * (5 + V)) = 0 (-15 + -3V + (5 * 2V + V * 2V)) = 0 (-15 + -3V + (10V + 2V2)) = 0 Combine like terms: -3V + 10V = 7V (-15 + 7V + 2V2) = 0 Solving -15 + 7V + 2V2 = 0 Solving for variable 'V'. Factor a trinomial. (-5 + -1V)(3 + -2V) = 0Subproblem 1
Set the factor '(-5 + -1V)' equal to zero and attempt to solve: Simplifying -5 + -1V = 0 Solving -5 + -1V = 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 + -1V = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1V = 0 + 5 -1V = 0 + 5 Combine like terms: 0 + 5 = 5 -1V = 5 Divide each side by '-1'. V = -5 Simplifying V = -5Subproblem 2
Set the factor '(3 + -2V)' equal to zero and attempt to solve: Simplifying 3 + -2V = 0 Solving 3 + -2V = 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 + -2V = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2V = 0 + -3 -2V = 0 + -3 Combine like terms: 0 + -3 = -3 -2V = -3 Divide each side by '-2'. V = 1.5 Simplifying V = 1.5Solution
V = {-5, 1.5}
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