7v^2+43v+11=5

Solution for 7v^2+43v+11=5 equation:

Simplifying
7v2 + 43v + 11 = 5

Reorder the terms:
11 + 43v + 7v2 = 5

Solving
11 + 43v + 7v2 = 5

Solving for variable 'v'.

Reorder the terms:
11 + -5 + 43v + 7v2 = 5 + -5

Combine like terms: 11 + -5 = 6
6 + 43v + 7v2 = 5 + -5

Combine like terms: 5 + -5 = 0
6 + 43v + 7v2 = 0

Factor a trinomial.
(6 + v)(1 + 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 '(1 + 7v)' equal to zero and attempt to solve:

Simplifying
1 + 7v = 0

Solving
1 + 7v = 0

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

Add '-1' to each side of the equation.
1 + -1 + 7v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7v = 0 + -1
7v = 0 + -1

Combine like terms: 0 + -1 = -1
7v = -1

Divide each side by '7'.
v = -0.1428571429

Simplifying
v = -0.1428571429
Solution
v = {-6, -0.1428571429}