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Simplifying 5v2 = -16v + -3 Reorder the terms: 5v2 = -3 + -16v Solving 5v2 = -3 + -16v Solving for variable 'v'. Reorder the terms: 3 + 16v + 5v2 = -3 + -16v + 3 + 16v Reorder the terms: 3 + 16v + 5v2 = -3 + 3 + -16v + 16v Combine like terms: -3 + 3 = 0 3 + 16v + 5v2 = 0 + -16v + 16v 3 + 16v + 5v2 = -16v + 16v Combine like terms: -16v + 16v = 0 3 + 16v + 5v2 = 0 Factor a trinomial. (3 + v)(1 + 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 '(1 + 5v)' equal to zero and attempt to solve: Simplifying 1 + 5v = 0 Solving 1 + 5v = 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 + 5v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5v = 0 + -1 5v = 0 + -1 Combine like terms: 0 + -1 = -1 5v = -1 Divide each side by '5'. v = -0.2 Simplifying v = -0.2Solution
v = {-3, -0.2}
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