x^2-7.3x+1.7=0

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Solution for x^2-7.3x+1.7=0 equation: 


Simplifying
x2 + -7.3x + 1.7 = 0

Reorder the terms:
1.7 + -7.3x + x2 = 0

Solving
1.7 + -7.3x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-1.7' to each side of the equation.
1.7 + -7.3x + -1.7 + x2 = 0 + -1.7

Reorder the terms:
1.7 + -1.7 + -7.3x + x2 = 0 + -1.7

Combine like terms: 1.7 + -1.7 = 0.0
0.0 + -7.3x + x2 = 0 + -1.7
-7.3x + x2 = 0 + -1.7

Combine like terms: 0 + -1.7 = -1.7
-7.3x + x2 = -1.7

The x term is -7.3x.  Take half its coefficient (-3.65).
Square it (13.3225) and add it to both sides.

Add '13.3225' to each side of the equation.
-7.3x + 13.3225 + x2 = -1.7 + 13.3225

Reorder the terms:
13.3225 + -7.3x + x2 = -1.7 + 13.3225

Combine like terms: -1.7 + 13.3225 = 11.6225
13.3225 + -7.3x + x2 = 11.6225

Factor a perfect square on the left side:
(x + -3.65)(x + -3.65) = 11.6225

Calculate the square root of the right side: 3.409178787

Break this problem into two subproblems by setting 
(x + -3.65) equal to 3.409178787 and -3.409178787.


Subproblem 1
x + -3.65 = 3.409178787

Simplifying
x + -3.65 = 3.409178787

Reorder the terms:
-3.65 + x = 3.409178787

Solving
-3.65 + x = 3.409178787

Solving for variable 'x'.

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

Add '3.65' to each side of the equation.
-3.65 + 3.65 + x = 3.409178787 + 3.65

Combine like terms: -3.65 + 3.65 = 0.00
0.00 + x = 3.409178787 + 3.65
x = 3.409178787 + 3.65

Combine like terms: 3.409178787 + 3.65 = 7.059178787
x = 7.059178787

Simplifying
x = 7.059178787


Subproblem 2
x + -3.65 = -3.409178787

Simplifying
x + -3.65 = -3.409178787

Reorder the terms:
-3.65 + x = -3.409178787

Solving
-3.65 + x = -3.409178787

Solving for variable 'x'.

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

Add '3.65' to each side of the equation.
-3.65 + 3.65 + x = -3.409178787 + 3.65

Combine like terms: -3.65 + 3.65 = 0.00
0.00 + x = -3.409178787 + 3.65
x = -3.409178787 + 3.65

Combine like terms: -3.409178787 + 3.65 = 0.240821213
x = 0.240821213

Simplifying
x = 0.240821213


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.059178787, 0.240821213}

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