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