1.9X^2-0.0000000000000000003X-1.242=0

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Solution for 1.9X^2-0.0000000000000000003X-1.242=0 equation: 


Simplifying
1.9X2 + -0.0000000000000000003X + -1.242 = 0

Reorder the terms:
-1.242 + -0.0000000000000000003X + 1.9X2 = 0

Solving
-1.242 + -0.0000000000000000003X + 1.9X2 = 0

Solving for variable 'X'.

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

Divide each side by '1.9'.
-0.6536842105 + -0.0000000000000000001578947368X + X2 = 0

Move the constant term to the right:

Add '0.6536842105' to each side of the equation.
-0.6536842105 + -0.0000000000000000001578947368X + 0.6536842105 + X2 = 0 + 0.6536842105

Reorder the terms:
-0.6536842105 + 0.6536842105 + -0.0000000000000000001578947368X + X2 = 0 + 0.6536842105

Combine like terms: -0.6536842105 + 0.6536842105 = 0.0000000000
0.0000000000 + -0.0000000000000000001578947368X + X2 = 0 + 0.6536842105
-0.0000000000000000001578947368X + X2 = 0 + 0.6536842105

Combine like terms: 0 + 0.6536842105 = 0.6536842105
-0.0000000000000000001578947368X + X2 = 0.6536842105

The X term is -0.0000000000000000001578947368X.  Take half its coefficient (-0.0000000000000000000789473684).
Square it (0.000000000000000000000000000000000000006232686977) and add it to both sides.

Add '0.000000000000000000000000000000000000006232686977' to each side of the equation.
-0.0000000000000000001578947368X + 0.000000000000000000000000000000000000006232686977 + X2 = 0.6536842105 + 0.000000000000000000000000000000000000006232686977

Reorder the terms:
0.000000000000000000000000000000000000006232686977 + -0.0000000000000000001578947368X + X2 = 0.6536842105 + 0.000000000000000000000000000000000000006232686977

Combine like terms: 0.6536842105 + 0.000000000000000000000000000000000000006232686977 = 0.653684210500000000000000000000000000006232686977
0.000000000000000000000000000000000000006232686977 + -0.0000000000000000001578947368X + X2 = 0.653684210500000000000000000000000000006232686977

Factor a perfect square on the left side:
(X + -0.0000000000000000000789473684)(X + -0.0000000000000000000789473684) = 0.653684210500000000000000000000000000006232686977

Calculate the square root of the right side: 0.808507397

Break this problem into two subproblems by setting 
(X + -0.0000000000000000000789473684) equal to 0.808507397 and -0.808507397.


Subproblem 1
X + -0.0000000000000000000789473684 = 0.808507397

Simplifying
X + -0.0000000000000000000789473684 = 0.808507397

Reorder the terms:
-0.0000000000000000000789473684 + X = 0.808507397

Solving
-0.0000000000000000000789473684 + X = 0.808507397

Solving for variable 'X'.

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

Add '0.0000000000000000000789473684' to each side of the equation.
-0.0000000000000000000789473684 + 0.0000000000000000000789473684 + X = 0.808507397 + 0.0000000000000000000789473684

Combine like terms: -0.0000000000000000000789473684 + 0.0000000000000000000789473684 = 0.0000000000000000000000000000
0.0000000000000000000000000000 + X = 0.808507397 + 0.0000000000000000000789473684
X = 0.808507397 + 0.0000000000000000000789473684

Combine like terms: 0.808507397 + 0.0000000000000000000789473684 = 0.8085073970000000000789473684
X = 0.8085073970000000000789473684

Simplifying
X = 0.8085073970000000000789473684


Subproblem 2
X + -0.0000000000000000000789473684 = -0.808507397

Simplifying
X + -0.0000000000000000000789473684 = -0.808507397

Reorder the terms:
-0.0000000000000000000789473684 + X = -0.808507397

Solving
-0.0000000000000000000789473684 + X = -0.808507397

Solving for variable 'X'.

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

Add '0.0000000000000000000789473684' to each side of the equation.
-0.0000000000000000000789473684 + 0.0000000000000000000789473684 + X = -0.808507397 + 0.0000000000000000000789473684

Combine like terms: -0.0000000000000000000789473684 + 0.0000000000000000000789473684 = 0.0000000000000000000000000000
0.0000000000000000000000000000 + X = -0.808507397 + 0.0000000000000000000789473684
X = -0.808507397 + 0.0000000000000000000789473684

Combine like terms: -0.808507397 + 0.0000000000000000000789473684 = -0.8085073969999999999210526316
X = -0.8085073969999999999210526316

Simplifying
X = -0.8085073969999999999210526316


Solution
The solution to the problem is based on the solutions
from the subproblems.
X = {0.8085073970000000000789473684, -0.8085073969999999999210526316}

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