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Simplifying 5v2 + 29v + 20 = 0 Reorder the terms: 20 + 29v + 5v2 = 0 Solving 20 + 29v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (5 + v)(4 + 5v) = 0Subproblem 1
Set the factor '(5 + v)' equal to zero and attempt to solve: Simplifying 5 + v = 0 Solving 5 + v = 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 + v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + v = 0 + -5 v = 0 + -5 Combine like terms: 0 + -5 = -5 v = -5 Simplifying v = -5Subproblem 2
Set the factor '(4 + 5v)' equal to zero and attempt to solve: Simplifying 4 + 5v = 0 Solving 4 + 5v = 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 + 5v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5v = 0 + -4 5v = 0 + -4 Combine like terms: 0 + -4 = -4 5v = -4 Divide each side by '5'. v = -0.8 Simplifying v = -0.8Solution
v = {-5, -0.8}
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