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Simplifying 3v2 + 10v + 9 = 2 Reorder the terms: 9 + 10v + 3v2 = 2 Solving 9 + 10v + 3v2 = 2 Solving for variable 'v'. Reorder the terms: 9 + -2 + 10v + 3v2 = 2 + -2 Combine like terms: 9 + -2 = 7 7 + 10v + 3v2 = 2 + -2 Combine like terms: 2 + -2 = 0 7 + 10v + 3v2 = 0 Factor a trinomial. (7 + 3v)(1 + v) = 0Subproblem 1
Set the factor '(7 + 3v)' equal to zero and attempt to solve: Simplifying 7 + 3v = 0 Solving 7 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3v = 0 + -7 3v = 0 + -7 Combine like terms: 0 + -7 = -7 3v = -7 Divide each side by '3'. v = -2.333333333 Simplifying v = -2.333333333Subproblem 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 = {-2.333333333, -1}
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