v^2+v+10=0

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Solution for v^2+v+10=0 equation:


Simplifying
v2 + v + 10 = 0

Reorder the terms:
10 + v + v2 = 0

Solving
10 + v + v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + v + -10 + v2 = 0 + -10

Reorder the terms:
10 + -10 + v + v2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + v + v2 = 0 + -10
v + v2 = 0 + -10

Combine like terms: 0 + -10 = -10
v + v2 = -10

The v term is v.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
v + 0.25 + v2 = -10 + 0.25

Reorder the terms:
0.25 + v + v2 = -10 + 0.25

Combine like terms: -10 + 0.25 = -9.75
0.25 + v + v2 = -9.75

Factor a perfect square on the left side:
(v + 0.5)(v + 0.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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