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Simplifying 4V2 + -3V = 27 Reorder the terms: -3V + 4V2 = 27 Solving -3V + 4V2 = 27 Solving for variable 'V'. Reorder the terms: -27 + -3V + 4V2 = 27 + -27 Combine like terms: 27 + -27 = 0 -27 + -3V + 4V2 = 0 Factor a trinomial. (-9 + -4V)(3 + -1V) = 0Subproblem 1
Set the factor '(-9 + -4V)' equal to zero and attempt to solve: Simplifying -9 + -4V = 0 Solving -9 + -4V = 0 Move all terms containing V to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4V = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4V = 0 + 9 -4V = 0 + 9 Combine like terms: 0 + 9 = 9 -4V = 9 Divide each side by '-4'. V = -2.25 Simplifying V = -2.25Subproblem 2
Set the factor '(3 + -1V)' equal to zero and attempt to solve: Simplifying 3 + -1V = 0 Solving 3 + -1V = 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 + -1V = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1V = 0 + -3 -1V = 0 + -3 Combine like terms: 0 + -3 = -3 -1V = -3 Divide each side by '-1'. V = 3 Simplifying V = 3Solution
V = {-2.25, 3}
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