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Simplifying (5 + v)(5v + 3) = 0 Reorder the terms: (5 + v)(3 + 5v) = 0 Multiply (5 + v) * (3 + 5v) (5(3 + 5v) + v(3 + 5v)) = 0 ((3 * 5 + 5v * 5) + v(3 + 5v)) = 0 ((15 + 25v) + v(3 + 5v)) = 0 (15 + 25v + (3 * v + 5v * v)) = 0 (15 + 25v + (3v + 5v2)) = 0 Combine like terms: 25v + 3v = 28v (15 + 28v + 5v2) = 0 Solving 15 + 28v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (5 + v)(3 + 5v) = 0Subproblem 1
Set the factor '(5 + v)' equal to zero and attempt to solve: Simplifying 5 + v = 0 Solving 5 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + v = 0 + -5 v = 0 + -5 Combine like terms: 0 + -5 = -5 v = -5 Simplifying v = -5Subproblem 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 = {-5, -0.6}
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