21x^2-168x+16000=0

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Solution for 21x^2-168x+16000=0 equation:


Simplifying
21x2 + -168x + 16000 = 0

Reorder the terms:
16000 + -168x + 21x2 = 0

Solving
16000 + -168x + 21x2 = 0

Solving for variable 'x'.

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

Divide each side by '21'.
761.9047619 + -8x + x2 = 0

Move the constant term to the right:

Add '-761.9047619' to each side of the equation.
761.9047619 + -8x + -761.9047619 + x2 = 0 + -761.9047619

Reorder the terms:
761.9047619 + -761.9047619 + -8x + x2 = 0 + -761.9047619

Combine like terms: 761.9047619 + -761.9047619 = 0.0000000
0.0000000 + -8x + x2 = 0 + -761.9047619
-8x + x2 = 0 + -761.9047619

Combine like terms: 0 + -761.9047619 = -761.9047619
-8x + x2 = -761.9047619

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -761.9047619 + 16

Reorder the terms:
16 + -8x + x2 = -761.9047619 + 16

Combine like terms: -761.9047619 + 16 = -745.9047619
16 + -8x + x2 = -745.9047619

Factor a perfect square on the left side:
(x + -4)(x + -4) = -745.9047619

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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