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Simplifying 5v2 + -39v + 33 = 5 Reorder the terms: 33 + -39v + 5v2 = 5 Solving 33 + -39v + 5v2 = 5 Solving for variable 'v'. Reorder the terms: 33 + -5 + -39v + 5v2 = 5 + -5 Combine like terms: 33 + -5 = 28 28 + -39v + 5v2 = 5 + -5 Combine like terms: 5 + -5 = 0 28 + -39v + 5v2 = 0 Factor a trinomial. (4 + -5v)(7 + -1v) = 0Subproblem 1
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 = 0.8Subproblem 2
Set the factor '(7 + -1v)' equal to zero and attempt to solve: Simplifying 7 + -1v = 0 Solving 7 + -1v = 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 + -1v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1v = 0 + -7 -1v = 0 + -7 Combine like terms: 0 + -7 = -7 -1v = -7 Divide each side by '-1'. v = 7 Simplifying v = 7Solution
v = {0.8, 7}
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