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Simplifying 2v2 + -17v + 34 + -2v + -4 = 0 Reorder the terms: 34 + -4 + -17v + -2v + 2v2 = 0 Combine like terms: 34 + -4 = 30 30 + -17v + -2v + 2v2 = 0 Combine like terms: -17v + -2v = -19v 30 + -19v + 2v2 = 0 Solving 30 + -19v + 2v2 = 0 Solving for variable 'v'. Factor a trinomial. (2 + -1v)(15 + -2v) = 0Subproblem 1
Set the factor '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 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 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2Subproblem 2
Set the factor '(15 + -2v)' equal to zero and attempt to solve: Simplifying 15 + -2v = 0 Solving 15 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2v = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2v = 0 + -15 -2v = 0 + -15 Combine like terms: 0 + -15 = -15 -2v = -15 Divide each side by '-2'. v = 7.5 Simplifying v = 7.5Solution
v = {2, 7.5}
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