5x^2-x+5=0

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


Simplifying
5x2 + -1x + 5 = 0

Reorder the terms:
5 + -1x + 5x2 = 0

Solving
5 + -1x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
1 + -0.2x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.2x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.2x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.2x + x2 = 0 + -1
-0.2x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.2x + x2 = -1

The x term is -0.2x.  Take half its coefficient (-0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
-0.2x + 0.01 + x2 = -1 + 0.01

Reorder the terms:
0.01 + -0.2x + x2 = -1 + 0.01

Combine like terms: -1 + 0.01 = -0.99
0.01 + -0.2x + x2 = -0.99

Factor a perfect square on the left side:
(x + -0.1)(x + -0.1) = -0.99

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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