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Simplifying 5v2 = -8 + 41v Solving 5v2 = -8 + 41v Solving for variable 'v'. Reorder the terms: 8 + -41v + 5v2 = -8 + 41v + 8 + -41v Reorder the terms: 8 + -41v + 5v2 = -8 + 8 + 41v + -41v Combine like terms: -8 + 8 = 0 8 + -41v + 5v2 = 0 + 41v + -41v 8 + -41v + 5v2 = 41v + -41v Combine like terms: 41v + -41v = 0 8 + -41v + 5v2 = 0 Factor a trinomial. (1 + -5v)(8 + -1v) = 0Subproblem 1
Set the factor '(1 + -5v)' equal to zero and attempt to solve: Simplifying 1 + -5v = 0 Solving 1 + -5v = 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 + -5v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5v = 0 + -1 -5v = 0 + -1 Combine like terms: 0 + -1 = -1 -5v = -1 Divide each side by '-5'. v = 0.2 Simplifying v = 0.2Subproblem 2
Set the factor '(8 + -1v)' equal to zero and attempt to solve: Simplifying 8 + -1v = 0 Solving 8 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 0 + -8 -1v = 0 + -8 Combine like terms: 0 + -8 = -8 -1v = -8 Divide each side by '-1'. v = 8 Simplifying v = 8Solution
v = {0.2, 8}
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