7x^2-5x+3=0

Solution for 7x^2-5x+3=0 equation:

Simplifying
7x2 + -5x + 3 = 0

Reorder the terms:
3 + -5x + 7x2 = 0

Solving
3 + -5x + 7x2 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
0.4285714286 + -0.7142857143x + x2 = 0

Move the constant term to the right:

Add '-0.4285714286' to each side of the equation.
0.4285714286 + -0.7142857143x + -0.4285714286 + x2 = 0 + -0.4285714286

Reorder the terms:
0.4285714286 + -0.4285714286 + -0.7142857143x + x2 = 0 + -0.4285714286

Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000
0.0000000000 + -0.7142857143x + x2 = 0 + -0.4285714286
-0.7142857143x + x2 = 0 + -0.4285714286

Combine like terms: 0 + -0.4285714286 = -0.4285714286
-0.7142857143x + x2 = -0.4285714286

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 = -0.4285714286 + 0.1275510204

Reorder the terms:
0.1275510204 + -0.7142857143x + x2 = -0.4285714286 + 0.1275510204

Combine like terms: -0.4285714286 + 0.1275510204 = -0.3010204082
0.1275510204 + -0.7142857143x + x2 = -0.3010204082

Factor a perfect square on the left side:
(x + -0.3571428572)(x + -0.3571428572) = -0.3010204082

Can't calculate square root of the right side.

The solution to this equation could not be determined.