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Simplifying (5V + -8)(6 + -1V) = 0 Reorder the terms: (-8 + 5V)(6 + -1V) = 0 Multiply (-8 + 5V) * (6 + -1V) (-8(6 + -1V) + 5V * (6 + -1V)) = 0 ((6 * -8 + -1V * -8) + 5V * (6 + -1V)) = 0 ((-48 + 8V) + 5V * (6 + -1V)) = 0 (-48 + 8V + (6 * 5V + -1V * 5V)) = 0 (-48 + 8V + (30V + -5V2)) = 0 Combine like terms: 8V + 30V = 38V (-48 + 38V + -5V2) = 0 Solving -48 + 38V + -5V2 = 0 Solving for variable 'V'. Factor a trinomial. (-6 + V)(8 + -5V) = 0Subproblem 1
Set the factor '(-6 + V)' equal to zero and attempt to solve: Simplifying -6 + V = 0 Solving -6 + V = 0 Move all terms containing V to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + V = 0 + 6 Combine like terms: -6 + 6 = 0 0 + V = 0 + 6 V = 0 + 6 Combine like terms: 0 + 6 = 6 V = 6 Simplifying V = 6Subproblem 2
Set the factor '(8 + -5V)' equal to zero and attempt to solve: Simplifying 8 + -5V = 0 Solving 8 + -5V = 0 Move all terms containing V to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5V = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5V = 0 + -8 -5V = 0 + -8 Combine like terms: 0 + -8 = -8 -5V = -8 Divide each side by '-5'. V = 1.6 Simplifying V = 1.6Solution
V = {6, 1.6}
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