3v^2-11v=-10

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Solution for 3v^2-11v=-10 equation:


Simplifying
3v2 + -11v = -10

Reorder the terms:
-11v + 3v2 = -10

Solving
-11v + 3v2 = -10

Solving for variable 'v'.

Reorder the terms:
10 + -11v + 3v2 = -10 + 10

Combine like terms: -10 + 10 = 0
10 + -11v + 3v2 = 0

Factor a trinomial.
(5 + -3v)(2 + -1v) = 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 '(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

Solution

v = {1.666666667, 2}

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