2x^2-21x+216=0

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Solution for 2x^2-21x+216=0 equation:


Simplifying
2x2 + -21x + 216 = 0

Reorder the terms:
216 + -21x + 2x2 = 0

Solving
216 + -21x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
108 + -10.5x + x2 = 0

Move the constant term to the right:

Add '-108' to each side of the equation.
108 + -10.5x + -108 + x2 = 0 + -108

Reorder the terms:
108 + -108 + -10.5x + x2 = 0 + -108

Combine like terms: 108 + -108 = 0
0 + -10.5x + x2 = 0 + -108
-10.5x + x2 = 0 + -108

Combine like terms: 0 + -108 = -108
-10.5x + x2 = -108

The x term is -10.5x.  Take half its coefficient (-5.25).
Square it (27.5625) and add it to both sides.

Add '27.5625' to each side of the equation.
-10.5x + 27.5625 + x2 = -108 + 27.5625

Reorder the terms:
27.5625 + -10.5x + x2 = -108 + 27.5625

Combine like terms: -108 + 27.5625 = -80.4375
27.5625 + -10.5x + x2 = -80.4375

Factor a perfect square on the left side:
(x + -5.25)(x + -5.25) = -80.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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