9v^2+42v+49=0

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Solution for 9v^2+42v+49=0 equation:


Simplifying
9v2 + 42v + 49 = 0

Reorder the terms:
49 + 42v + 9v2 = 0

Solving
49 + 42v + 9v2 = 0

Solving for variable 'v'.

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

Subproblem 1

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

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 = {-2.333333333, -2.333333333}

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