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Simplifying 5v2 = 9v + 2 Reorder the terms: 5v2 = 2 + 9v Solving 5v2 = 2 + 9v Solving for variable 'v'. Reorder the terms: -2 + -9v + 5v2 = 2 + 9v + -2 + -9v Reorder the terms: -2 + -9v + 5v2 = 2 + -2 + 9v + -9v Combine like terms: 2 + -2 = 0 -2 + -9v + 5v2 = 0 + 9v + -9v -2 + -9v + 5v2 = 9v + -9v Combine like terms: 9v + -9v = 0 -2 + -9v + 5v2 = 0 Factor a trinomial. (-1 + -5v)(2 + -1v) = 0Subproblem 1
Set the factor '(-1 + -5v)' equal to zero and attempt to solve: Simplifying -1 + -5v = 0 Solving -1 + -5v = 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 + -5v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5v = 0 + 1 -5v = 0 + 1 Combine like terms: 0 + 1 = 1 -5v = 1 Divide each side by '-5'. v = -0.2 Simplifying v = -0.2Subproblem 2
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 = 2Solution
v = {-0.2, 2}
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