2v^2-7v+40=(v-6)

Solution for 2v^2-7v+40=(v-6) equation:

Simplifying
2v2 + -7v + 40 = (v + -6)

Reorder the terms:
40 + -7v + 2v2 = (v + -6)

Reorder the terms:
40 + -7v + 2v2 = (-6 + v)

Remove parenthesis around (-6 + v)
40 + -7v + 2v2 = -6 + v

Solving
40 + -7v + 2v2 = -6 + v

Solving for variable 'v'.

Reorder the terms:
40 + 6 + -7v + -1v + 2v2 = -6 + v + 6 + -1v

Combine like terms: 40 + 6 = 46
46 + -7v + -1v + 2v2 = -6 + v + 6 + -1v

Combine like terms: -7v + -1v = -8v
46 + -8v + 2v2 = -6 + v + 6 + -1v

Reorder the terms:
46 + -8v + 2v2 = -6 + 6 + v + -1v

Combine like terms: -6 + 6 = 0
46 + -8v + 2v2 = 0 + v + -1v
46 + -8v + 2v2 = v + -1v

Combine like terms: v + -1v = 0
46 + -8v + 2v2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(23 + -4v + v2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(23 + -4v + v2)' equal to zero and attempt to solve:

Simplifying
23 + -4v + v2 = 0

Solving
23 + -4v + v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-23' to each side of the equation.
23 + -4v + -23 + v2 = 0 + -23

Reorder the terms:
23 + -23 + -4v + v2 = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -4v + v2 = 0 + -23
-4v + v2 = 0 + -23

Combine like terms: 0 + -23 = -23
-4v + v2 = -23

The v term is -4v.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4v + 4 + v2 = -23 + 4

Reorder the terms:
4 + -4v + v2 = -23 + 4

Combine like terms: -23 + 4 = -19
4 + -4v + v2 = -19

Factor a perfect square on the left side:
(v + -2)(v + -2) = -19

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.