8.08=-11402x^2+766.68x-6.6669

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Solution for 8.08=-11402x^2+766.68x-6.6669 equation:


Simplifying
8.08 = -11402x2 + 766.68x + -6.6669

Reorder the terms:
8.08 = -6.6669 + 766.68x + -11402x2

Solving
8.08 = -6.6669 + 766.68x + -11402x2

Solving for variable 'x'.

Combine like terms: 8.08 + 6.6669 = 14.7469
14.7469 + -766.68x + 11402x2 = -6.6669 + 766.68x + -11402x2 + 6.6669 + -766.68x + 11402x2

Reorder the terms:
14.7469 + -766.68x + 11402x2 = -6.6669 + 6.6669 + 766.68x + -766.68x + -11402x2 + 11402x2

Combine like terms: -6.6669 + 6.6669 = 0.0000
14.7469 + -766.68x + 11402x2 = 0.0000 + 766.68x + -766.68x + -11402x2 + 11402x2
14.7469 + -766.68x + 11402x2 = 766.68x + -766.68x + -11402x2 + 11402x2

Combine like terms: 766.68x + -766.68x = 0.00
14.7469 + -766.68x + 11402x2 = 0.00 + -11402x2 + 11402x2
14.7469 + -766.68x + 11402x2 = -11402x2 + 11402x2

Combine like terms: -11402x2 + 11402x2 = 0
14.7469 + -766.68x + 11402x2 = 0

Begin completing the square.  Divide all terms by
11402 the coefficient of the squared term: 

Divide each side by '11402'.
0.001293360814 + -0.06724083494x + x2 = 0

Move the constant term to the right:

Add '-0.001293360814' to each side of the equation.
0.001293360814 + -0.06724083494x + -0.001293360814 + x2 = 0 + -0.001293360814

Reorder the terms:
0.001293360814 + -0.001293360814 + -0.06724083494x + x2 = 0 + -0.001293360814

Combine like terms: 0.001293360814 + -0.001293360814 = 0.000000000000
0.000000000000 + -0.06724083494x + x2 = 0 + -0.001293360814
-0.06724083494x + x2 = 0 + -0.001293360814

Combine like terms: 0 + -0.001293360814 = -0.001293360814
-0.06724083494x + x2 = -0.001293360814

The x term is -0.06724083494x.  Take half its coefficient (-0.03362041747).
Square it (0.001130332471) and add it to both sides.

Add '0.001130332471' to each side of the equation.
-0.06724083494x + 0.001130332471 + x2 = -0.001293360814 + 0.001130332471

Reorder the terms:
0.001130332471 + -0.06724083494x + x2 = -0.001293360814 + 0.001130332471

Combine like terms: -0.001293360814 + 0.001130332471 = -0.000163028343
0.001130332471 + -0.06724083494x + x2 = -0.000163028343

Factor a perfect square on the left side:
(x + -0.03362041747)(x + -0.03362041747) = -0.000163028343

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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