0.7X^2-2.95X+1.30=0

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Solution for 0.7X^2-2.95X+1.30=0 equation: 


Simplifying
0.7X2 + -2.95X + 1.30 = 0

Reorder the terms:
1.30 + -2.95X + 0.7X2 = 0

Solving
1.30 + -2.95X + 0.7X2 = 0

Solving for variable 'X'.

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

Divide each side by '0.7'.
1.857142857 + -4.214285714X + X2 = 0

Move the constant term to the right:

Add '-1.857142857' to each side of the equation.
1.857142857 + -4.214285714X + -1.857142857 + X2 = 0 + -1.857142857

Reorder the terms:
1.857142857 + -1.857142857 + -4.214285714X + X2 = 0 + -1.857142857

Combine like terms: 1.857142857 + -1.857142857 = 0.000000000
0.000000000 + -4.214285714X + X2 = 0 + -1.857142857
-4.214285714X + X2 = 0 + -1.857142857

Combine like terms: 0 + -1.857142857 = -1.857142857
-4.214285714X + X2 = -1.857142857

The X term is -4.214285714X.  Take half its coefficient (-2.107142857).
Square it (4.440051020) and add it to both sides.

Add '4.440051020' to each side of the equation.
-4.214285714X + 4.440051020 + X2 = -1.857142857 + 4.440051020

Reorder the terms:
4.440051020 + -4.214285714X + X2 = -1.857142857 + 4.440051020

Combine like terms: -1.857142857 + 4.440051020 = 2.582908163
4.440051020 + -4.214285714X + X2 = 2.582908163

Factor a perfect square on the left side:
(X + -2.107142857)(X + -2.107142857) = 2.582908163

Calculate the square root of the right side: 1.607142857

Break this problem into two subproblems by setting 
(X + -2.107142857) equal to 1.607142857 and -1.607142857.


Subproblem 1
X + -2.107142857 = 1.607142857

Simplifying
X + -2.107142857 = 1.607142857

Reorder the terms:
-2.107142857 + X = 1.607142857

Solving
-2.107142857 + X = 1.607142857

Solving for variable 'X'.

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

Add '2.107142857' to each side of the equation.
-2.107142857 + 2.107142857 + X = 1.607142857 + 2.107142857

Combine like terms: -2.107142857 + 2.107142857 = 0.000000000
0.000000000 + X = 1.607142857 + 2.107142857
X = 1.607142857 + 2.107142857

Combine like terms: 1.607142857 + 2.107142857 = 3.714285714
X = 3.714285714

Simplifying
X = 3.714285714


Subproblem 2
X + -2.107142857 = -1.607142857

Simplifying
X + -2.107142857 = -1.607142857

Reorder the terms:
-2.107142857 + X = -1.607142857

Solving
-2.107142857 + X = -1.607142857

Solving for variable 'X'.

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

Add '2.107142857' to each side of the equation.
-2.107142857 + 2.107142857 + X = -1.607142857 + 2.107142857

Combine like terms: -2.107142857 + 2.107142857 = 0.000000000
0.000000000 + X = -1.607142857 + 2.107142857
X = -1.607142857 + 2.107142857

Combine like terms: -1.607142857 + 2.107142857 = 0.5
X = 0.5

Simplifying
X = 0.5


Solution
The solution to the problem is based on the solutions
from the subproblems.
X = {3.714285714, 0.5}

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