4v^2+15v+9=

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Solution for 4v^2+15v+9= equation:


Simplifying
4v2 + 15v + 9 = 0

Reorder the terms:
9 + 15v + 4v2 = 0

Solving
9 + 15v + 4v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(3 + v)(3 + 4v) = 0

Subproblem 1

Set the factor '(3 + v)' equal to zero and attempt to solve: Simplifying 3 + v = 0 Solving 3 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Simplifying v = -3

Subproblem 2

Set the factor '(3 + 4v)' equal to zero and attempt to solve: Simplifying 3 + 4v = 0 Solving 3 + 4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4v = 0 + -3 4v = 0 + -3 Combine like terms: 0 + -3 = -3 4v = -3 Divide each side by '4'. v = -0.75 Simplifying v = -0.75

Solution

v = {-3, -0.75}

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