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Simplifying 5v2 = -9 + -18v Solving 5v2 = -9 + -18v Solving for variable 'v'. Reorder the terms: 9 + 18v + 5v2 = -9 + -18v + 9 + 18v Reorder the terms: 9 + 18v + 5v2 = -9 + 9 + -18v + 18v Combine like terms: -9 + 9 = 0 9 + 18v + 5v2 = 0 + -18v + 18v 9 + 18v + 5v2 = -18v + 18v Combine like terms: -18v + 18v = 0 9 + 18v + 5v2 = 0 Factor a trinomial. (3 + v)(3 + 5v) = 0Subproblem 1
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 = -3Subproblem 2
Set the factor '(3 + 5v)' equal to zero and attempt to solve: Simplifying 3 + 5v = 0 Solving 3 + 5v = 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 + 5v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5v = 0 + -3 5v = 0 + -3 Combine like terms: 0 + -3 = -3 5v = -3 Divide each side by '5'. v = -0.6 Simplifying v = -0.6Solution
v = {-3, -0.6}
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