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Simplifying 5v2 = 96 + 4v Solving 5v2 = 96 + 4v Solving for variable 'v'. Reorder the terms: -96 + -4v + 5v2 = 96 + 4v + -96 + -4v Reorder the terms: -96 + -4v + 5v2 = 96 + -96 + 4v + -4v Combine like terms: 96 + -96 = 0 -96 + -4v + 5v2 = 0 + 4v + -4v -96 + -4v + 5v2 = 4v + -4v Combine like terms: 4v + -4v = 0 -96 + -4v + 5v2 = 0 Factor a trinomial. (-4 + -1v)(24 + -5v) = 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 '(24 + -5v)' equal to zero and attempt to solve: Simplifying 24 + -5v = 0 Solving 24 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -5v = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -5v = 0 + -24 -5v = 0 + -24 Combine like terms: 0 + -24 = -24 -5v = -24 Divide each side by '-5'. v = 4.8 Simplifying v = 4.8Solution
v = {-4, 4.8}
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