3v^2-17v+23=3

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Solution for 3v^2-17v+23=3 equation:


Simplifying
3v2 + -17v + 23 = 3

Reorder the terms:
23 + -17v + 3v2 = 3

Solving
23 + -17v + 3v2 = 3

Solving for variable 'v'.

Reorder the terms:
23 + -3 + -17v + 3v2 = 3 + -3

Combine like terms: 23 + -3 = 20
20 + -17v + 3v2 = 3 + -3

Combine like terms: 3 + -3 = 0
20 + -17v + 3v2 = 0

Factor a trinomial.
(5 + -3v)(4 + -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 '(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

Solution

v = {1.666666667, 4}

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