0=0.25c^2-c+1

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Solution for 0=0.25c^2-c+1 equation:


Simplifying
0 = 0.25c2 + -1c + 1

Reorder the terms:
0 = 1 + -1c + 0.25c2

Solving
0 = 1 + -1c + 0.25c2

Solving for variable 'c'.

Combine like terms: 0 + -1 = -1
-1 + c + -0.25c2 = 1 + -1c + 0.25c2 + -1 + c + -0.25c2

Reorder the terms:
-1 + c + -0.25c2 = 1 + -1 + -1c + c + 0.25c2 + -0.25c2

Combine like terms: 1 + -1 = 0
-1 + c + -0.25c2 = 0 + -1c + c + 0.25c2 + -0.25c2
-1 + c + -0.25c2 = -1c + c + 0.25c2 + -0.25c2

Combine like terms: -1c + c = 0
-1 + c + -0.25c2 = 0 + 0.25c2 + -0.25c2
-1 + c + -0.25c2 = 0.25c2 + -0.25c2

Combine like terms: 0.25c2 + -0.25c2 = 0.00
-1 + c + -0.25c2 = 0.00

Begin completing the square.  Divide all terms by
-0.25 the coefficient of the squared term: 

Divide each side by '-0.25'.
4 + -4c + c2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -4c + -4 + c2 = 0 + -4

Reorder the terms:
4 + -4 + -4c + c2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -4c + c2 = 0 + -4
-4c + c2 = 0 + -4

Combine like terms: 0 + -4 = -4
-4c + c2 = -4

The c term is c.  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.
-4c + 0.25 + c2 = -4 + 0.25

Reorder the terms:
0.25 + -4c + c2 = -4 + 0.25

Combine like terms: -4 + 0.25 = -3.75
0.25 + -4c + c2 = -3.75

Factor a perfect square on the left side:
(c + 0.5)(c + 0.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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