5v^2+29v+42=0

Solution for 5v^2+29v+42=0 equation:

Simplifying
5v2 + 29v + 42 = 0

Reorder the terms:
42 + 29v + 5v2 = 0

Solving
42 + 29v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(3 + v)(14 + 5v) = 0

Subproblem 1
Set the factor '(3 + v)' equal to zero and attempt to solve:

Simplifying
3 + v = 0

Solving
3 + v = 0

Move all terms containing v to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + v = 0 + -3
v = 0 + -3

Combine like terms: 0 + -3 = -3
v = -3

Simplifying
v = -3
Subproblem 2
Set the factor '(14 + 5v)' equal to zero and attempt to solve:

Simplifying
14 + 5v = 0

Solving
14 + 5v = 0

Move all terms containing v to the left, all other terms to the right.

Add '-14' to each side of the equation.
14 + -14 + 5v = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 5v = 0 + -14
5v = 0 + -14

Combine like terms: 0 + -14 = -14
5v = -14

Divide each side by '5'.
v = -2.8

Simplifying
v = -2.8
Solution
v = {-3, -2.8}