7x^2-3x+4=0

Solution for 7x^2-3x+4=0 equation:

Simplifying
7x2 + -3x + 4 = 0

Reorder the terms:
4 + -3x + 7x2 = 0

Solving
4 + -3x + 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'.
0.5714285714 + -0.4285714286x + x2 = 0

Move the constant term to the right:

Add '-0.5714285714' to each side of the equation.
0.5714285714 + -0.4285714286x + -0.5714285714 + x2 = 0 + -0.5714285714

Reorder the terms:
0.5714285714 + -0.5714285714 + -0.4285714286x + x2 = 0 + -0.5714285714

Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000
0.0000000000 + -0.4285714286x + x2 = 0 + -0.5714285714
-0.4285714286x + x2 = 0 + -0.5714285714

Combine like terms: 0 + -0.5714285714 = -0.5714285714
-0.4285714286x + x2 = -0.5714285714

The x term is -0.4285714286x.  Take half its coefficient (-0.2142857143).
Square it (0.04591836735) and add it to both sides.

Add '0.04591836735' to each side of the equation.
-0.4285714286x + 0.04591836735 + x2 = -0.5714285714 + 0.04591836735

Reorder the terms:
0.04591836735 + -0.4285714286x + x2 = -0.5714285714 + 0.04591836735

Combine like terms: -0.5714285714 + 0.04591836735 = -0.52551020405
0.04591836735 + -0.4285714286x + x2 = -0.52551020405

Factor a perfect square on the left side:
(x + -0.2142857143)(x + -0.2142857143) = -0.52551020405

Can't calculate square root of the right side.

The solution to this equation could not be determined.