14x^2-10x+7=0

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Solution for 14x^2-10x+7=0 equation:


Simplifying
14x2 + -10x + 7 = 0

Reorder the terms:
7 + -10x + 14x2 = 0

Solving
7 + -10x + 14x2 = 0

Solving for variable 'x'.

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

Divide each side by '14'.
0.5 + -0.7142857143x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.7142857143x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.7142857143x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.7142857143x + x2 = 0 + -0.5
-0.7142857143x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.7142857143x + x2 = -0.5

The x term is -0.7142857143x.  Take half its coefficient (-0.3571428572).
Square it (0.1275510204) and add it to both sides.

Add '0.1275510204' to each side of the equation.
-0.7142857143x + 0.1275510204 + x2 = -0.5 + 0.1275510204

Reorder the terms:
0.1275510204 + -0.7142857143x + x2 = -0.5 + 0.1275510204

Combine like terms: -0.5 + 0.1275510204 = -0.3724489796
0.1275510204 + -0.7142857143x + x2 = -0.3724489796

Factor a perfect square on the left side:
(x + -0.3571428572)(x + -0.3571428572) = -0.3724489796

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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