6v^2+v=2

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Solution for 6v^2+v=2 equation:


Simplifying
6v2 + v = 2

Reorder the terms:
v + 6v2 = 2

Solving
v + 6v2 = 2

Solving for variable 'v'.

Reorder the terms:
-2 + v + 6v2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + v + 6v2 = 0

Factor a trinomial.
(-2 + -3v)(1 + -2v) = 0

Subproblem 1

Set the factor '(-2 + -3v)' equal to zero and attempt to solve: Simplifying -2 + -3v = 0 Solving -2 + -3v = 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 + -3v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3v = 0 + 2 -3v = 0 + 2 Combine like terms: 0 + 2 = 2 -3v = 2 Divide each side by '-3'. v = -0.6666666667 Simplifying v = -0.6666666667

Subproblem 2

Set the factor '(1 + -2v)' equal to zero and attempt to solve: Simplifying 1 + -2v = 0 Solving 1 + -2v = 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 + -2v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2v = 0 + -1 -2v = 0 + -1 Combine like terms: 0 + -1 = -1 -2v = -1 Divide each side by '-2'. v = 0.5 Simplifying v = 0.5

Solution

v = {-0.6666666667, 0.5}

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