-2v^2-3v+14=0

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Solution for -2v^2-3v+14=0 equation:


Simplifying
-2v2 + -3v + 14 = 0

Reorder the terms:
14 + -3v + -2v2 = 0

Solving
14 + -3v + -2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(2 + -1v)(7 + 2v) = 0

Subproblem 1

Set the factor '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2

Subproblem 2

Set the factor '(7 + 2v)' equal to zero and attempt to solve: Simplifying 7 + 2v = 0 Solving 7 + 2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2v = 0 + -7 2v = 0 + -7 Combine like terms: 0 + -7 = -7 2v = -7 Divide each side by '2'. v = -3.5 Simplifying v = -3.5

Solution

v = {2, -3.5}

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