55x^2-92x+51=0

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Solution for 55x^2-92x+51=0 equation:


Simplifying
55x2 + -92x + 51 = 0

Reorder the terms:
51 + -92x + 55x2 = 0

Solving
51 + -92x + 55x2 = 0

Solving for variable 'x'.

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

Divide each side by '55'.
0.9272727273 + -1.672727273x + x2 = 0

Move the constant term to the right:

Add '-0.9272727273' to each side of the equation.
0.9272727273 + -1.672727273x + -0.9272727273 + x2 = 0 + -0.9272727273

Reorder the terms:
0.9272727273 + -0.9272727273 + -1.672727273x + x2 = 0 + -0.9272727273

Combine like terms: 0.9272727273 + -0.9272727273 = 0.0000000000
0.0000000000 + -1.672727273x + x2 = 0 + -0.9272727273
-1.672727273x + x2 = 0 + -0.9272727273

Combine like terms: 0 + -0.9272727273 = -0.9272727273
-1.672727273x + x2 = -0.9272727273

The x term is -1.672727273x.  Take half its coefficient (-0.8363636365).
Square it (0.6995041325) and add it to both sides.

Add '0.6995041325' to each side of the equation.
-1.672727273x + 0.6995041325 + x2 = -0.9272727273 + 0.6995041325

Reorder the terms:
0.6995041325 + -1.672727273x + x2 = -0.9272727273 + 0.6995041325

Combine like terms: -0.9272727273 + 0.6995041325 = -0.2277685948
0.6995041325 + -1.672727273x + x2 = -0.2277685948

Factor a perfect square on the left side:
(x + -0.8363636365)(x + -0.8363636365) = -0.2277685948

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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