2v^2-9v+38=(v-6)

Solution for 2v^2-9v+38=(v-6) equation:

Simplifying
2v2 + -9v + 38 = (v + -6)

Reorder the terms:
38 + -9v + 2v2 = (v + -6)

Reorder the terms:
38 + -9v + 2v2 = (-6 + v)

Remove parenthesis around (-6 + v)
38 + -9v + 2v2 = -6 + v

Solving
38 + -9v + 2v2 = -6 + v

Solving for variable 'v'.

Reorder the terms:
38 + 6 + -9v + -1v + 2v2 = -6 + v + 6 + -1v

Combine like terms: 38 + 6 = 44
44 + -9v + -1v + 2v2 = -6 + v + 6 + -1v

Combine like terms: -9v + -1v = -10v
44 + -10v + 2v2 = -6 + v + 6 + -1v

Reorder the terms:
44 + -10v + 2v2 = -6 + 6 + v + -1v

Combine like terms: -6 + 6 = 0
44 + -10v + 2v2 = 0 + v + -1v
44 + -10v + 2v2 = v + -1v

Combine like terms: v + -1v = 0
44 + -10v + 2v2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(22 + -5v + v2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(22 + -5v + v2)' equal to zero and attempt to solve:

Simplifying
22 + -5v + v2 = 0

Solving
22 + -5v + v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + -5v + -22 + v2 = 0 + -22

Reorder the terms:
22 + -22 + -5v + v2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -5v + v2 = 0 + -22
-5v + v2 = 0 + -22

Combine like terms: 0 + -22 = -22
-5v + v2 = -22

The v term is -5v.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5v + 6.25 + v2 = -22 + 6.25

Reorder the terms:
6.25 + -5v + v2 = -22 + 6.25

Combine like terms: -22 + 6.25 = -15.75
6.25 + -5v + v2 = -15.75

Factor a perfect square on the left side:
(v + -2.5)(v + -2.5) = -15.75

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.