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Simplifying (4 + V)(5V + -1) = 0 Reorder the terms: (4 + V)(-1 + 5V) = 0 Multiply (4 + V) * (-1 + 5V) (4(-1 + 5V) + V(-1 + 5V)) = 0 ((-1 * 4 + 5V * 4) + V(-1 + 5V)) = 0 ((-4 + 20V) + V(-1 + 5V)) = 0 (-4 + 20V + (-1 * V + 5V * V)) = 0 (-4 + 20V + (-1V + 5V2)) = 0 Combine like terms: 20V + -1V = 19V (-4 + 19V + 5V2) = 0 Solving -4 + 19V + 5V2 = 0 Solving for variable 'V'. Factor a trinomial. (-4 + -1V)(1 + -5V) = 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 '(1 + -5V)' equal to zero and attempt to solve: Simplifying 1 + -5V = 0 Solving 1 + -5V = 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 + -5V = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5V = 0 + -1 -5V = 0 + -1 Combine like terms: 0 + -1 = -1 -5V = -1 Divide each side by '-5'. V = 0.2 Simplifying V = 0.2Solution
V = {-4, 0.2}
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