2v^2+16v+74=0

Solution for 2v^2+16v+74=0 equation:

Simplifying
2v2 + 16v + 74 = 0

Reorder the terms:
74 + 16v + 2v2 = 0

Solving
74 + 16v + 2v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(37 + 8v + v2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(37 + 8v + v2)' equal to zero and attempt to solve:

Simplifying
37 + 8v + v2 = 0

Solving
37 + 8v + v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-37' to each side of the equation.
37 + 8v + -37 + v2 = 0 + -37

Reorder the terms:
37 + -37 + 8v + v2 = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 8v + v2 = 0 + -37
8v + v2 = 0 + -37

Combine like terms: 0 + -37 = -37
8v + v2 = -37

The v term is 8v.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8v + 16 + v2 = -37 + 16

Reorder the terms:
16 + 8v + v2 = -37 + 16

Combine like terms: -37 + 16 = -21
16 + 8v + v2 = -21

Factor a perfect square on the left side:
(v + 4)(v + 4) = -21

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.