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Simplifying v2 + 10v + 23 = 2 Reorder the terms: 23 + 10v + v2 = 2 Solving 23 + 10v + v2 = 2 Solving for variable 'v'. Reorder the terms: 23 + -2 + 10v + v2 = 2 + -2 Combine like terms: 23 + -2 = 21 21 + 10v + v2 = 2 + -2 Combine like terms: 2 + -2 = 0 21 + 10v + v2 = 0 Factor a trinomial. (7 + v)(3 + v) = 0Subproblem 1
Set the factor '(7 + v)' equal to zero and attempt to solve: Simplifying 7 + v = 0 Solving 7 + v = 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 + v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + v = 0 + -7 v = 0 + -7 Combine like terms: 0 + -7 = -7 v = -7 Simplifying v = -7Subproblem 2
Set the factor '(3 + v)' equal to zero and attempt to solve: Simplifying 3 + v = 0 Solving 3 + v = 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 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Simplifying v = -3Solution
v = {-7, -3}
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