# 2v^2-4v+52=

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## Solution for 2v^2-4v+52= equation:

Simplifying
2v2 + -4v + 52 = 0

Reorder the terms:
52 + -4v + 2v2 = 0

Solving
52 + -4v + 2v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(26 + -2v + v2) = 0

Ignore the factor 2.
Subproblem 1Set the factor '(26 + -2v + v2)' equal to zero and attempt to solve:

Simplifying
26 + -2v + v2 = 0

Solving
26 + -2v + v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-26' to each side of the equation.
26 + -2v + -26 + v2 = 0 + -26

Reorder the terms:
26 + -26 + -2v + v2 = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -2v + v2 = 0 + -26
-2v + v2 = 0 + -26

Combine like terms: 0 + -26 = -26
-2v + v2 = -26

The v term is -2v.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2v + 1 + v2 = -26 + 1

Reorder the terms:
1 + -2v + v2 = -26 + 1

Combine like terms: -26 + 1 = -25
1 + -2v + v2 = -25

Factor a perfect square on the left side:
(v + -1)(v + -1) = -25

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.`