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Simplifying 3V2 + 72V + -75 = 0 Reorder the terms: -75 + 72V + 3V2 = 0 Solving -75 + 72V + 3V2 = 0 Solving for variable 'V'. Factor out the Greatest Common Factor (GCF), '3'. 3(-25 + 24V + V2) = 0 Factor a trinomial. 3((-25 + -1V)(1 + -1V)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-25 + -1V)' equal to zero and attempt to solve: Simplifying -25 + -1V = 0 Solving -25 + -1V = 0 Move all terms containing V to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -1V = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1V = 0 + 25 -1V = 0 + 25 Combine like terms: 0 + 25 = 25 -1V = 25 Divide each side by '-1'. V = -25 Simplifying V = -25Subproblem 2
Set the factor '(1 + -1V)' equal to zero and attempt to solve: Simplifying 1 + -1V = 0 Solving 1 + -1V = 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 + -1V = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1V = 0 + -1 -1V = 0 + -1 Combine like terms: 0 + -1 = -1 -1V = -1 Divide each side by '-1'. V = 1 Simplifying V = 1Solution
V = {-25, 1}
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