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