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Simplifying 6v = 8v2 + -5 Reorder the terms: 6v = -5 + 8v2 Solving 6v = -5 + 8v2 Solving for variable 'v'. Reorder the terms: 5 + 6v + -8v2 = -5 + 8v2 + 5 + -8v2 Reorder the terms: 5 + 6v + -8v2 = -5 + 5 + 8v2 + -8v2 Combine like terms: -5 + 5 = 0 5 + 6v + -8v2 = 0 + 8v2 + -8v2 5 + 6v + -8v2 = 8v2 + -8v2 Combine like terms: 8v2 + -8v2 = 0 5 + 6v + -8v2 = 0 Factor a trinomial. (5 + -4v)(1 + 2v) = 0Subproblem 1
Set the factor '(5 + -4v)' equal to zero and attempt to solve: Simplifying 5 + -4v = 0 Solving 5 + -4v = 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 + -4v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4v = 0 + -5 -4v = 0 + -5 Combine like terms: 0 + -5 = -5 -4v = -5 Divide each side by '-4'. v = 1.25 Simplifying v = 1.25Subproblem 2
Set the factor '(1 + 2v)' equal to zero and attempt to solve: Simplifying 1 + 2v = 0 Solving 1 + 2v = 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 + 2v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2v = 0 + -1 2v = 0 + -1 Combine like terms: 0 + -1 = -1 2v = -1 Divide each side by '2'. v = -0.5 Simplifying v = -0.5Solution
v = {1.25, -0.5}
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