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Simplifying (5v + 4)(1 + v) = 0 Reorder the terms: (4 + 5v)(1 + v) = 0 Multiply (4 + 5v) * (1 + v) (4(1 + v) + 5v * (1 + v)) = 0 ((1 * 4 + v * 4) + 5v * (1 + v)) = 0 ((4 + 4v) + 5v * (1 + v)) = 0 (4 + 4v + (1 * 5v + v * 5v)) = 0 (4 + 4v + (5v + 5v2)) = 0 Combine like terms: 4v + 5v = 9v (4 + 9v + 5v2) = 0 Solving 4 + 9v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (1 + v)(4 + 5v) = 0Subproblem 1
Set the factor '(1 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Simplifying v = -1Subproblem 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 = {-1, -0.8}
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