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Simplifying 8v2 + 5 = 41v Reorder the terms: 5 + 8v2 = 41v Solving 5 + 8v2 = 41v Solving for variable 'v'. Reorder the terms: 5 + -41v + 8v2 = 41v + -41v Combine like terms: 41v + -41v = 0 5 + -41v + 8v2 = 0 Factor a trinomial. (1 + -8v)(5 + -1v) = 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 '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 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 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5Solution
v = {0.125, 5}
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