7v^2+46v+24=0

Solution for 7v^2+46v+24=0 equation:

Simplifying
7v2 + 46v + 24 = 0

Reorder the terms:
24 + 46v + 7v2 = 0

Solving
24 + 46v + 7v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(6 + v)(4 + 7v) = 0

Subproblem 1
Set the factor '(6 + v)' equal to zero and attempt to solve:

Simplifying
6 + v = 0

Solving
6 + v = 0

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

Add '-6' to each side of the equation.
6 + -6 + v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + v = 0 + -6
v = 0 + -6

Combine like terms: 0 + -6 = -6
v = -6

Simplifying
v = -6
Subproblem 2
Set the factor '(4 + 7v)' equal to zero and attempt to solve:

Simplifying
4 + 7v = 0

Solving
4 + 7v = 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 + 7v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7v = 0 + -4
7v = 0 + -4

Combine like terms: 0 + -4 = -4
7v = -4

Divide each side by '7'.
v = -0.5714285714

Simplifying
v = -0.5714285714
Solution
v = {-6, -0.5714285714}