.06x^2-x+1.266=0

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Solution for .06x^2-x+1.266=0 equation: 


Simplifying
0.06x2 + -1x + 1.266 = 0

Reorder the terms:
1.266 + -1x + 0.06x2 = 0

Solving
1.266 + -1x + 0.06x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.06'.
21.1 + -16.66666667x + x2 = 0

Move the constant term to the right:

Add '-21.1' to each side of the equation.
21.1 + -16.66666667x + -21.1 + x2 = 0 + -21.1

Reorder the terms:
21.1 + -21.1 + -16.66666667x + x2 = 0 + -21.1

Combine like terms: 21.1 + -21.1 = 0.0
0.0 + -16.66666667x + x2 = 0 + -21.1
-16.66666667x + x2 = 0 + -21.1

Combine like terms: 0 + -21.1 = -21.1
-16.66666667x + x2 = -21.1

The x term is -16.66666667x.  Take half its coefficient (-8.333333335).
Square it (69.44444447) and add it to both sides.

Add '69.44444447' to each side of the equation.
-16.66666667x + 69.44444447 + x2 = -21.1 + 69.44444447

Reorder the terms:
69.44444447 + -16.66666667x + x2 = -21.1 + 69.44444447

Combine like terms: -21.1 + 69.44444447 = 48.34444447
69.44444447 + -16.66666667x + x2 = 48.34444447

Factor a perfect square on the left side:
(x + -8.333333335)(x + -8.333333335) = 48.34444447

Calculate the square root of the right side: 6.953016933

Break this problem into two subproblems by setting 
(x + -8.333333335) equal to 6.953016933 and -6.953016933.


Subproblem 1
x + -8.333333335 = 6.953016933

Simplifying
x + -8.333333335 = 6.953016933

Reorder the terms:
-8.333333335 + x = 6.953016933

Solving
-8.333333335 + x = 6.953016933

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8.333333335' to each side of the equation.
-8.333333335 + 8.333333335 + x = 6.953016933 + 8.333333335

Combine like terms: -8.333333335 + 8.333333335 = 0.000000000
0.000000000 + x = 6.953016933 + 8.333333335
x = 6.953016933 + 8.333333335

Combine like terms: 6.953016933 + 8.333333335 = 15.286350268
x = 15.286350268

Simplifying
x = 15.286350268


Subproblem 2
x + -8.333333335 = -6.953016933

Simplifying
x + -8.333333335 = -6.953016933

Reorder the terms:
-8.333333335 + x = -6.953016933

Solving
-8.333333335 + x = -6.953016933

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8.333333335' to each side of the equation.
-8.333333335 + 8.333333335 + x = -6.953016933 + 8.333333335

Combine like terms: -8.333333335 + 8.333333335 = 0.000000000
0.000000000 + x = -6.953016933 + 8.333333335
x = -6.953016933 + 8.333333335

Combine like terms: -6.953016933 + 8.333333335 = 1.380316402
x = 1.380316402

Simplifying
x = 1.380316402


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {15.286350268, 1.380316402}

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