3v^2+45v+168=0

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Solution for 3v^2+45v+168=0 equation:


Simplifying
3v2 + 45v + 168 = 0

Reorder the terms:
168 + 45v + 3v2 = 0

Solving
168 + 45v + 3v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(56 + 15v + v2) = 0

Factor a trinomial.
3((8 + v)(7 + v)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(8 + v)' equal to zero and attempt to solve: Simplifying 8 + v = 0 Solving 8 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + v = 0 + -8 v = 0 + -8 Combine like terms: 0 + -8 = -8 v = -8 Simplifying v = -8

Subproblem 2

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

Solution

v = {-8, -7}

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