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Simplifying 5v2 = 19v + 4 Reorder the terms: 5v2 = 4 + 19v Solving 5v2 = 4 + 19v Solving for variable 'v'. Reorder the terms: -4 + -19v + 5v2 = 4 + 19v + -4 + -19v Reorder the terms: -4 + -19v + 5v2 = 4 + -4 + 19v + -19v Combine like terms: 4 + -4 = 0 -4 + -19v + 5v2 = 0 + 19v + -19v -4 + -19v + 5v2 = 19v + -19v Combine like terms: 19v + -19v = 0 -4 + -19v + 5v2 = 0 Factor a trinomial. (-1 + -5v)(4 + -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 '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 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 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Solution
v = {-0.2, 4}
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