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Simplifying v2 = -21 + 10v Solving v2 = -21 + 10v Solving for variable 'v'. Reorder the terms: 21 + -10v + v2 = -21 + 10v + 21 + -10v Reorder the terms: 21 + -10v + v2 = -21 + 21 + 10v + -10v Combine like terms: -21 + 21 = 0 21 + -10v + v2 = 0 + 10v + -10v 21 + -10v + v2 = 10v + -10v Combine like terms: 10v + -10v = 0 21 + -10v + v2 = 0 Factor a trinomial. (3 + -1v)(7 + -1v) = 0Subproblem 1
Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 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 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Subproblem 2
Set the factor '(7 + -1v)' equal to zero and attempt to solve: Simplifying 7 + -1v = 0 Solving 7 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1v = 0 + -7 -1v = 0 + -7 Combine like terms: 0 + -7 = -7 -1v = -7 Divide each side by '-1'. v = 7 Simplifying v = 7Solution
v = {3, 7}
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