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Simplifying v2 + 30v = 31 Reorder the terms: 30v + v2 = 31 Solving 30v + v2 = 31 Solving for variable 'v'. Reorder the terms: -31 + 30v + v2 = 31 + -31 Combine like terms: 31 + -31 = 0 -31 + 30v + v2 = 0 Factor a trinomial. (-31 + -1v)(1 + -1v) = 0Subproblem 1
Set the factor '(-31 + -1v)' equal to zero and attempt to solve: Simplifying -31 + -1v = 0 Solving -31 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -1v = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -1v = 0 + 31 -1v = 0 + 31 Combine like terms: 0 + 31 = 31 -1v = 31 Divide each side by '-1'. v = -31 Simplifying v = -31Subproblem 2
Set the factor '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 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 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Divide each side by '-1'. v = 1 Simplifying v = 1Solution
v = {-31, 1}
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