x^2-33.3x+3.33=0

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Solution for x^2-33.3x+3.33=0 equation: 


Simplifying
x2 + -33.3x + 3.33 = 0

Reorder the terms:
3.33 + -33.3x + x2 = 0

Solving
3.33 + -33.3x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-3.33' to each side of the equation.
3.33 + -33.3x + -3.33 + x2 = 0 + -3.33

Reorder the terms:
3.33 + -3.33 + -33.3x + x2 = 0 + -3.33

Combine like terms: 3.33 + -3.33 = 0.00
0.00 + -33.3x + x2 = 0 + -3.33
-33.3x + x2 = 0 + -3.33

Combine like terms: 0 + -3.33 = -3.33
-33.3x + x2 = -3.33

The x term is -33.3x.  Take half its coefficient (-16.65).
Square it (277.2225) and add it to both sides.

Add '277.2225' to each side of the equation.
-33.3x + 277.2225 + x2 = -3.33 + 277.2225

Reorder the terms:
277.2225 + -33.3x + x2 = -3.33 + 277.2225

Combine like terms: -3.33 + 277.2225 = 273.8925
277.2225 + -33.3x + x2 = 273.8925

Factor a perfect square on the left side:
(x + -16.65)(x + -16.65) = 273.8925

Calculate the square root of the right side: 16.549697882

Break this problem into two subproblems by setting 
(x + -16.65) equal to 16.549697882 and -16.549697882.


Subproblem 1
x + -16.65 = 16.549697882

Simplifying
x + -16.65 = 16.549697882

Reorder the terms:
-16.65 + x = 16.549697882

Solving
-16.65 + x = 16.549697882

Solving for variable 'x'.

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

Add '16.65' to each side of the equation.
-16.65 + 16.65 + x = 16.549697882 + 16.65

Combine like terms: -16.65 + 16.65 = 0.00
0.00 + x = 16.549697882 + 16.65
x = 16.549697882 + 16.65

Combine like terms: 16.549697882 + 16.65 = 33.199697882
x = 33.199697882

Simplifying
x = 33.199697882


Subproblem 2
x + -16.65 = -16.549697882

Simplifying
x + -16.65 = -16.549697882

Reorder the terms:
-16.65 + x = -16.549697882

Solving
-16.65 + x = -16.549697882

Solving for variable 'x'.

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

Add '16.65' to each side of the equation.
-16.65 + 16.65 + x = -16.549697882 + 16.65

Combine like terms: -16.65 + 16.65 = 0.00
0.00 + x = -16.549697882 + 16.65
x = -16.549697882 + 16.65

Combine like terms: -16.549697882 + 16.65 = 0.100302118
x = 0.100302118

Simplifying
x = 0.100302118


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {33.199697882, 0.100302118}

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