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Simplifying 6v2 + 29v = -20 Reorder the terms: 29v + 6v2 = -20 Solving 29v + 6v2 = -20 Solving for variable 'v'. Reorder the terms: 20 + 29v + 6v2 = -20 + 20 Combine like terms: -20 + 20 = 0 20 + 29v + 6v2 = 0 Factor a trinomial. (4 + v)(5 + 6v) = 0Subproblem 1
Set the factor '(4 + v)' equal to zero and attempt to solve: Simplifying 4 + v = 0 Solving 4 + v = 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 + v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v = 0 + -4 v = 0 + -4 Combine like terms: 0 + -4 = -4 v = -4 Simplifying v = -4Subproblem 2
Set the factor '(5 + 6v)' equal to zero and attempt to solve: Simplifying 5 + 6v = 0 Solving 5 + 6v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6v = 0 + -5 6v = 0 + -5 Combine like terms: 0 + -5 = -5 6v = -5 Divide each side by '6'. v = -0.8333333333 Simplifying v = -0.8333333333Solution
v = {-4, -0.8333333333}
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