4r^2-r+1=0

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Solution for 4r^2-r+1=0 equation:


Simplifying
4r2 + -1r + 1 = 0

Reorder the terms:
1 + -1r + 4r2 = 0

Solving
1 + -1r + 4r2 = 0

Solving for variable 'r'.

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

Divide each side by '4'.
0.25 + -0.25r + r2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.25r + -0.25 + r2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.25r + r2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.25r + r2 = 0 + -0.25
-0.25r + r2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.25r + r2 = -0.25

The r term is -0.25r.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25r + 0.015625 + r2 = -0.25 + 0.015625

Reorder the terms:
0.015625 + -0.25r + r2 = -0.25 + 0.015625

Combine like terms: -0.25 + 0.015625 = -0.234375
0.015625 + -0.25r + r2 = -0.234375

Factor a perfect square on the left side:
(r + -0.125)(r + -0.125) = -0.234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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