4x^2-51x+182=0

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Solution for 4x^2-51x+182=0 equation:


Simplifying
4x2 + -51x + 182 = 0

Reorder the terms:
182 + -51x + 4x2 = 0

Solving
182 + -51x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
45.5 + -12.75x + x2 = 0

Move the constant term to the right:

Add '-45.5' to each side of the equation.
45.5 + -12.75x + -45.5 + x2 = 0 + -45.5

Reorder the terms:
45.5 + -45.5 + -12.75x + x2 = 0 + -45.5

Combine like terms: 45.5 + -45.5 = 0.0
0.0 + -12.75x + x2 = 0 + -45.5
-12.75x + x2 = 0 + -45.5

Combine like terms: 0 + -45.5 = -45.5
-12.75x + x2 = -45.5

The x term is -12.75x.  Take half its coefficient (-6.375).
Square it (40.640625) and add it to both sides.

Add '40.640625' to each side of the equation.
-12.75x + 40.640625 + x2 = -45.5 + 40.640625

Reorder the terms:
40.640625 + -12.75x + x2 = -45.5 + 40.640625

Combine like terms: -45.5 + 40.640625 = -4.859375
40.640625 + -12.75x + x2 = -4.859375

Factor a perfect square on the left side:
(x + -6.375)(x + -6.375) = -4.859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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