23x^2-2x+6=0

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Solution for 23x^2-2x+6=0 equation:


Simplifying
23x2 + -2x + 6 = 0

Reorder the terms:
6 + -2x + 23x2 = 0

Solving
6 + -2x + 23x2 = 0

Solving for variable 'x'.

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

Divide each side by '23'.
0.2608695652 + -0.08695652174x + x2 = 0

Move the constant term to the right:

Add '-0.2608695652' to each side of the equation.
0.2608695652 + -0.08695652174x + -0.2608695652 + x2 = 0 + -0.2608695652

Reorder the terms:
0.2608695652 + -0.2608695652 + -0.08695652174x + x2 = 0 + -0.2608695652

Combine like terms: 0.2608695652 + -0.2608695652 = 0.0000000000
0.0000000000 + -0.08695652174x + x2 = 0 + -0.2608695652
-0.08695652174x + x2 = 0 + -0.2608695652

Combine like terms: 0 + -0.2608695652 = -0.2608695652
-0.08695652174x + x2 = -0.2608695652

The x term is -0.08695652174x.  Take half its coefficient (-0.04347826087).
Square it (0.001890359168) and add it to both sides.

Add '0.001890359168' to each side of the equation.
-0.08695652174x + 0.001890359168 + x2 = -0.2608695652 + 0.001890359168

Reorder the terms:
0.001890359168 + -0.08695652174x + x2 = -0.2608695652 + 0.001890359168

Combine like terms: -0.2608695652 + 0.001890359168 = -0.258979206032
0.001890359168 + -0.08695652174x + x2 = -0.258979206032

Factor a perfect square on the left side:
(x + -0.04347826087)(x + -0.04347826087) = -0.258979206032

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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