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Simplifying 4v2 + 5 = -9v Reorder the terms: 5 + 4v2 = -9v Solving 5 + 4v2 = -9v Solving for variable 'v'. Reorder the terms: 5 + 9v + 4v2 = -9v + 9v Combine like terms: -9v + 9v = 0 5 + 9v + 4v2 = 0 Factor a trinomial. (5 + 4v)(1 + v) = 0Subproblem 1
Set the factor '(5 + 4v)' equal to zero and attempt to solve: Simplifying 5 + 4v = 0 Solving 5 + 4v = 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 + 4v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4v = 0 + -5 4v = 0 + -5 Combine like terms: 0 + -5 = -5 4v = -5 Divide each side by '4'. v = -1.25 Simplifying v = -1.25Subproblem 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 = {-1.25, -1}
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