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Simplifying -3v = 5v2 + -2 Reorder the terms: -3v = -2 + 5v2 Solving -3v = -2 + 5v2 Solving for variable 'v'. Reorder the terms: 2 + -3v + -5v2 = -2 + 5v2 + 2 + -5v2 Reorder the terms: 2 + -3v + -5v2 = -2 + 2 + 5v2 + -5v2 Combine like terms: -2 + 2 = 0 2 + -3v + -5v2 = 0 + 5v2 + -5v2 2 + -3v + -5v2 = 5v2 + -5v2 Combine like terms: 5v2 + -5v2 = 0 2 + -3v + -5v2 = 0 Factor a trinomial. (2 + -5v)(1 + v) = 0Subproblem 1
Set the factor '(2 + -5v)' equal to zero and attempt to solve: Simplifying 2 + -5v = 0 Solving 2 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5v = 0 + -2 -5v = 0 + -2 Combine like terms: 0 + -2 = -2 -5v = -2 Divide each side by '-5'. v = 0.4 Simplifying v = 0.4Subproblem 2
Set the factor '(1 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 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 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Simplifying v = -1Solution
v = {0.4, -1}
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