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Simplifying 2v2 + 31v + -16 = 0 Reorder the terms: -16 + 31v + 2v2 = 0 Solving -16 + 31v + 2v2 = 0 Solving for variable 'v'. Factor a trinomial. (-16 + -1v)(1 + -2v) = 0Subproblem 1
Set the factor '(-16 + -1v)' equal to zero and attempt to solve: Simplifying -16 + -1v = 0 Solving -16 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1v = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1v = 0 + 16 -1v = 0 + 16 Combine like terms: 0 + 16 = 16 -1v = 16 Divide each side by '-1'. v = -16 Simplifying v = -16Subproblem 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 = {-16, 0.5}
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