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Simplifying 64v2 + -16v + 1 = 0 Reorder the terms: 1 + -16v + 64v2 = 0 Solving 1 + -16v + 64v2 = 0 Solving for variable 'v'. Factor a trinomial. (1 + -8v)(1 + -8v) = 0Subproblem 1
Set the factor '(1 + -8v)' equal to zero and attempt to solve: Simplifying 1 + -8v = 0 Solving 1 + -8v = 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 + -8v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8v = 0 + -1 -8v = 0 + -1 Combine like terms: 0 + -1 = -1 -8v = -1 Divide each side by '-8'. v = 0.125 Simplifying v = 0.125Subproblem 2
Set the factor '(1 + -8v)' equal to zero and attempt to solve: Simplifying 1 + -8v = 0 Solving 1 + -8v = 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 + -8v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8v = 0 + -1 -8v = 0 + -1 Combine like terms: 0 + -1 = -1 -8v = -1 Divide each side by '-8'. v = 0.125 Simplifying v = 0.125Solution
v = {0.125, 0.125}
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