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Simplifying 10 = v2 + -9v Reorder the terms: 10 = -9v + v2 Solving 10 = -9v + v2 Solving for variable 'v'. Reorder the terms: 10 + 9v + -1v2 = -9v + 9v + v2 + -1v2 Combine like terms: -9v + 9v = 0 10 + 9v + -1v2 = 0 + v2 + -1v2 10 + 9v + -1v2 = v2 + -1v2 Combine like terms: v2 + -1v2 = 0 10 + 9v + -1v2 = 0 Factor a trinomial. (10 + -1v)(1 + v) = 0Subproblem 1
Set the factor '(10 + -1v)' equal to zero and attempt to solve: Simplifying 10 + -1v = 0 Solving 10 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1v = 0 + -10 -1v = 0 + -10 Combine like terms: 0 + -10 = -10 -1v = -10 Divide each side by '-1'. v = 10 Simplifying v = 10Subproblem 2
Set the factor '(1 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 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 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Simplifying v = -1Solution
v = {10, -1}
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