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Simplifying 16v2 + -2v + -3 = 0 Reorder the terms: -3 + -2v + 16v2 = 0 Solving -3 + -2v + 16v2 = 0 Solving for variable 'v'. Factor a trinomial. (-3 + -8v)(1 + -2v) = 0Subproblem 1
Set the factor '(-3 + -8v)' equal to zero and attempt to solve: Simplifying -3 + -8v = 0 Solving -3 + -8v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -8v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8v = 0 + 3 -8v = 0 + 3 Combine like terms: 0 + 3 = 3 -8v = 3 Divide each side by '-8'. v = -0.375 Simplifying v = -0.375Subproblem 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 = {-0.375, 0.5}
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