2r^2-r+5=0

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Solution for 2r^2-r+5=0 equation:


Simplifying
2r2 + -1r + 5 = 0

Reorder the terms:
5 + -1r + 2r2 = 0

Solving
5 + -1r + 2r2 = 0

Solving for variable 'r'.

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

Divide each side by '2'.
2.5 + -0.5r + r2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -0.5r + -2.5 + r2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -0.5r + r2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -0.5r + r2 = 0 + -2.5
-0.5r + r2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-0.5r + r2 = -2.5

The r term is -0.5r.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5r + 0.0625 + r2 = -2.5 + 0.0625

Reorder the terms:
0.0625 + -0.5r + r2 = -2.5 + 0.0625

Combine like terms: -2.5 + 0.0625 = -2.4375
0.0625 + -0.5r + r2 = -2.4375

Factor a perfect square on the left side:
(r + -0.25)(r + -0.25) = -2.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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