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Simplifying (5v + 6)(4 + v) = 0 Reorder the terms: (6 + 5v)(4 + v) = 0 Multiply (6 + 5v) * (4 + v) (6(4 + v) + 5v * (4 + v)) = 0 ((4 * 6 + v * 6) + 5v * (4 + v)) = 0 ((24 + 6v) + 5v * (4 + v)) = 0 (24 + 6v + (4 * 5v + v * 5v)) = 0 (24 + 6v + (20v + 5v2)) = 0 Combine like terms: 6v + 20v = 26v (24 + 26v + 5v2) = 0 Solving 24 + 26v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (4 + v)(6 + 5v) = 0Subproblem 1
Set the factor '(4 + v)' equal to zero and attempt to solve: Simplifying 4 + v = 0 Solving 4 + v = 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 + v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v = 0 + -4 v = 0 + -4 Combine like terms: 0 + -4 = -4 v = -4 Simplifying v = -4Subproblem 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 = {-4, -1.2}
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