63x^2-31x+14=0

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Solution for 63x^2-31x+14=0 equation:


Simplifying
63x2 + -31x + 14 = 0

Reorder the terms:
14 + -31x + 63x2 = 0

Solving
14 + -31x + 63x2 = 0

Solving for variable 'x'.

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

Divide each side by '63'.
0.2222222222 + -0.4920634921x + x2 = 0

Move the constant term to the right:

Add '-0.2222222222' to each side of the equation.
0.2222222222 + -0.4920634921x + -0.2222222222 + x2 = 0 + -0.2222222222

Reorder the terms:
0.2222222222 + -0.2222222222 + -0.4920634921x + x2 = 0 + -0.2222222222

Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000
0.0000000000 + -0.4920634921x + x2 = 0 + -0.2222222222
-0.4920634921x + x2 = 0 + -0.2222222222

Combine like terms: 0 + -0.2222222222 = -0.2222222222
-0.4920634921x + x2 = -0.2222222222

The x term is -0.4920634921x.  Take half its coefficient (-0.2460317461).
Square it (0.06053162009) and add it to both sides.

Add '0.06053162009' to each side of the equation.
-0.4920634921x + 0.06053162009 + x2 = -0.2222222222 + 0.06053162009

Reorder the terms:
0.06053162009 + -0.4920634921x + x2 = -0.2222222222 + 0.06053162009

Combine like terms: -0.2222222222 + 0.06053162009 = -0.16169060211
0.06053162009 + -0.4920634921x + x2 = -0.16169060211

Factor a perfect square on the left side:
(x + -0.2460317461)(x + -0.2460317461) = -0.16169060211

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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