6v^2-11v=35

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Solution for 6v^2-11v=35 equation:


Simplifying
6v2 + -11v = 35

Reorder the terms:
-11v + 6v2 = 35

Solving
-11v + 6v2 = 35

Solving for variable 'v'.

Reorder the terms:
-35 + -11v + 6v2 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + -11v + 6v2 = 0

Factor a trinomial.
(-5 + -3v)(7 + -2v) = 0

Subproblem 1

Set the factor '(-5 + -3v)' equal to zero and attempt to solve: Simplifying -5 + -3v = 0 Solving -5 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3v = 0 + 5 -3v = 0 + 5 Combine like terms: 0 + 5 = 5 -3v = 5 Divide each side by '-3'. v = -1.666666667 Simplifying v = -1.666666667

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 = {-1.666666667, 3.5}

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