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Simplifying 3v2 + -24 = 14v Reorder the terms: -24 + 3v2 = 14v Solving -24 + 3v2 = 14v Solving for variable 'v'. Reorder the terms: -24 + -14v + 3v2 = 14v + -14v Combine like terms: 14v + -14v = 0 -24 + -14v + 3v2 = 0 Factor a trinomial. (-4 + -3v)(6 + -1v) = 0Subproblem 1
Set the factor '(-4 + -3v)' equal to zero and attempt to solve: Simplifying -4 + -3v = 0 Solving -4 + -3v = 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 + -3v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3v = 0 + 4 -3v = 0 + 4 Combine like terms: 0 + 4 = 4 -3v = 4 Divide each side by '-3'. v = -1.333333333 Simplifying v = -1.333333333Subproblem 2
Set the factor '(6 + -1v)' equal to zero and attempt to solve: Simplifying 6 + -1v = 0 Solving 6 + -1v = 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 + -1v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 0 + -6 -1v = 0 + -6 Combine like terms: 0 + -6 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6Solution
v = {-1.333333333, 6}
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