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Simplifying (5v + 4)(2 + v) = 0 Reorder the terms: (4 + 5v)(2 + v) = 0 Multiply (4 + 5v) * (2 + v) (4(2 + v) + 5v * (2 + v)) = 0 ((2 * 4 + v * 4) + 5v * (2 + v)) = 0 ((8 + 4v) + 5v * (2 + v)) = 0 (8 + 4v + (2 * 5v + v * 5v)) = 0 (8 + 4v + (10v + 5v2)) = 0 Combine like terms: 4v + 10v = 14v (8 + 14v + 5v2) = 0 Solving 8 + 14v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (2 + v)(4 + 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 '(4 + 5v)' equal to zero and attempt to solve: Simplifying 4 + 5v = 0 Solving 4 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5v = 0 + -4 5v = 0 + -4 Combine like terms: 0 + -4 = -4 5v = -4 Divide each side by '5'. v = -0.8 Simplifying v = -0.8Solution
v = {-2, -0.8}
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