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Simplifying (5v + 3)(6 + v) = 0 Reorder the terms: (3 + 5v)(6 + v) = 0 Multiply (3 + 5v) * (6 + v) (3(6 + v) + 5v * (6 + v)) = 0 ((6 * 3 + v * 3) + 5v * (6 + v)) = 0 ((18 + 3v) + 5v * (6 + v)) = 0 (18 + 3v + (6 * 5v + v * 5v)) = 0 (18 + 3v + (30v + 5v2)) = 0 Combine like terms: 3v + 30v = 33v (18 + 33v + 5v2) = 0 Solving 18 + 33v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (6 + v)(3 + 5v) = 0Subproblem 1
Set the factor '(6 + v)' equal to zero and attempt to solve: Simplifying 6 + v = 0 Solving 6 + v = 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 + v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + v = 0 + -6 v = 0 + -6 Combine like terms: 0 + -6 = -6 v = -6 Simplifying v = -6Subproblem 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 = {-6, -0.6}
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