3v^2+36v+49-8v=0

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Solution for 3v^2+36v+49-8v=0 equation:


Simplifying
3v2 + 36v + 49 + -8v = 0

Reorder the terms:
49 + 36v + -8v + 3v2 = 0

Combine like terms: 36v + -8v = 28v
49 + 28v + 3v2 = 0

Solving
49 + 28v + 3v2 = 0

Solving for variable 'v'.

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

Subproblem 1

Set the factor '(7 + v)' equal to zero and attempt to solve: Simplifying 7 + v = 0 Solving 7 + v = 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 + v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + v = 0 + -7 v = 0 + -7 Combine like terms: 0 + -7 = -7 v = -7 Simplifying v = -7

Subproblem 2

Set the factor '(7 + 3v)' equal to zero and attempt to solve: Simplifying 7 + 3v = 0 Solving 7 + 3v = 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 + 3v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3v = 0 + -7 3v = 0 + -7 Combine like terms: 0 + -7 = -7 3v = -7 Divide each side by '3'. v = -2.333333333 Simplifying v = -2.333333333

Solution

v = {-7, -2.333333333}

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