3v^2+11v-4=0

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Solution for 3v^2+11v-4=0 equation:


Simplifying
3v2 + 11v + -4 = 0

Reorder the terms:
-4 + 11v + 3v2 = 0

Solving
-4 + 11v + 3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-4 + -1v)(1 + -3v) = 0

Subproblem 1

Set the factor '(-4 + -1v)' equal to zero and attempt to solve: Simplifying -4 + -1v = 0 Solving -4 + -1v = 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 + -1v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1v = 0 + 4 -1v = 0 + 4 Combine like terms: 0 + 4 = 4 -1v = 4 Divide each side by '-1'. v = -4 Simplifying v = -4

Subproblem 2

Set the factor '(1 + -3v)' equal to zero and attempt to solve: Simplifying 1 + -3v = 0 Solving 1 + -3v = 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 + -3v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3v = 0 + -1 -3v = 0 + -1 Combine like terms: 0 + -1 = -1 -3v = -1 Divide each side by '-3'. v = 0.3333333333 Simplifying v = 0.3333333333

Solution

v = {-4, 0.3333333333}

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