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Simplifying (1 + v)(4v + 9) = 0 Reorder the terms: (1 + v)(9 + 4v) = 0 Multiply (1 + v) * (9 + 4v) (1(9 + 4v) + v(9 + 4v)) = 0 ((9 * 1 + 4v * 1) + v(9 + 4v)) = 0 ((9 + 4v) + v(9 + 4v)) = 0 (9 + 4v + (9 * v + 4v * v)) = 0 (9 + 4v + (9v + 4v2)) = 0 Combine like terms: 4v + 9v = 13v (9 + 13v + 4v2) = 0 Solving 9 + 13v + 4v2 = 0 Solving for variable 'v'. Factor a trinomial. (9 + 4v)(1 + v) = 0Subproblem 1
Set the factor '(9 + 4v)' equal to zero and attempt to solve: Simplifying 9 + 4v = 0 Solving 9 + 4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4v = 0 + -9 4v = 0 + -9 Combine like terms: 0 + -9 = -9 4v = -9 Divide each side by '4'. v = -2.25 Simplifying v = -2.25Subproblem 2
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 = -1Solution
v = {-2.25, -1}
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