x^2-3x+1.18=0

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Solution for x^2-3x+1.18=0 equation: 


Simplifying
x2 + -3x + 1.18 = 0

Reorder the terms:
1.18 + -3x + x2 = 0

Solving
1.18 + -3x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-1.18' to each side of the equation.
1.18 + -3x + -1.18 + x2 = 0 + -1.18

Reorder the terms:
1.18 + -1.18 + -3x + x2 = 0 + -1.18

Combine like terms: 1.18 + -1.18 = 0.00
0.00 + -3x + x2 = 0 + -1.18
-3x + x2 = 0 + -1.18

Combine like terms: 0 + -1.18 = -1.18
-3x + x2 = -1.18

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -1.18 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -1.18 + 2.25

Combine like terms: -1.18 + 2.25 = 1.07
2.25 + -3x + x2 = 1.07

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = 1.07

Calculate the square root of the right side: 1.034408043

Break this problem into two subproblems by setting 
(x + -1.5) equal to 1.034408043 and -1.034408043.


Subproblem 1
x + -1.5 = 1.034408043

Simplifying
x + -1.5 = 1.034408043

Reorder the terms:
-1.5 + x = 1.034408043

Solving
-1.5 + x = 1.034408043

Solving for variable 'x'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + x = 1.034408043 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + x = 1.034408043 + 1.5
x = 1.034408043 + 1.5

Combine like terms: 1.034408043 + 1.5 = 2.534408043
x = 2.534408043

Simplifying
x = 2.534408043


Subproblem 2
x + -1.5 = -1.034408043

Simplifying
x + -1.5 = -1.034408043

Reorder the terms:
-1.5 + x = -1.034408043

Solving
-1.5 + x = -1.034408043

Solving for variable 'x'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + x = -1.034408043 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + x = -1.034408043 + 1.5
x = -1.034408043 + 1.5

Combine like terms: -1.034408043 + 1.5 = 0.465591957
x = 0.465591957

Simplifying
x = 0.465591957


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.534408043, 0.465591957}

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