.69x^2-1.07x+1.38=0

Solution for .69x^2-1.07x+1.38=0 equation:

Simplifying
0.69x2 + -1.07x + 1.38 = 0

Reorder the terms:
1.38 + -1.07x + 0.69x2 = 0

Solving
1.38 + -1.07x + 0.69x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.69'.
2 + -1.550724638x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1.550724638x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -1.550724638x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1.550724638x + x2 = 0 + -2
-1.550724638x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1.550724638x + x2 = -2

The x term is -1.550724638x.  Take half its coefficient (-0.775362319).
Square it (0.6011867257) and add it to both sides.

Add '0.6011867257' to each side of the equation.
-1.550724638x + 0.6011867257 + x2 = -2 + 0.6011867257

Reorder the terms:
0.6011867257 + -1.550724638x + x2 = -2 + 0.6011867257

Combine like terms: -2 + 0.6011867257 = -1.3988132743
0.6011867257 + -1.550724638x + x2 = -1.3988132743

Factor a perfect square on the left side:
(x + -0.775362319)(x + -0.775362319) = -1.3988132743

Can't calculate square root of the right side.

The solution to this equation could not be determined.