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Simplifying 3v2 = -1v + 4 Reorder the terms: 3v2 = 4 + -1v Solving 3v2 = 4 + -1v Solving for variable 'v'. Reorder the terms: -4 + v + 3v2 = 4 + -1v + -4 + v Reorder the terms: -4 + v + 3v2 = 4 + -4 + -1v + v Combine like terms: 4 + -4 = 0 -4 + v + 3v2 = 0 + -1v + v -4 + v + 3v2 = -1v + v Combine like terms: -1v + v = 0 -4 + v + 3v2 = 0 Factor a trinomial. (-4 + -3v)(1 + -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 '(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 = {-1.333333333, 1}
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