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Simplifying (5v + 6)(2 + v) = 0 Reorder the terms: (6 + 5v)(2 + v) = 0 Multiply (6 + 5v) * (2 + v) (6(2 + v) + 5v * (2 + v)) = 0 ((2 * 6 + v * 6) + 5v * (2 + v)) = 0 ((12 + 6v) + 5v * (2 + v)) = 0 (12 + 6v + (2 * 5v + v * 5v)) = 0 (12 + 6v + (10v + 5v2)) = 0 Combine like terms: 6v + 10v = 16v (12 + 16v + 5v2) = 0 Solving 12 + 16v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (2 + v)(6 + 5v) = 0Subproblem 1
Set the factor '(2 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Simplifying v = -2Subproblem 2
Set the factor '(6 + 5v)' equal to zero and attempt to solve: Simplifying 6 + 5v = 0 Solving 6 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5v = 0 + -6 5v = 0 + -6 Combine like terms: 0 + -6 = -6 5v = -6 Divide each side by '5'. v = -1.2 Simplifying v = -1.2Solution
v = {-2, -1.2}
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