5v^2+9v+4=0

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Solution for 5v^2+9v+4=0 equation:


Simplifying
5v2 + 9v + 4 = 0

Reorder the terms:
4 + 9v + 5v2 = 0

Solving
4 + 9v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(1 + v)(4 + 5v) = 0

Subproblem 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 = -1

Subproblem 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 = -0.8

Solution

v = {-1, -0.8}

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