7a^2-3a+2=0

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

Simplifying
7a2 + -3a + 2 = 0

Reorder the terms:
2 + -3a + 7a2 = 0

Solving
2 + -3a + 7a2 = 0

Solving for variable 'a'.

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

Divide each side by '7'.
0.2857142857 + -0.4285714286a + a2 = 0

Move the constant term to the right:

Add '-0.2857142857' to each side of the equation.
0.2857142857 + -0.4285714286a + -0.2857142857 + a2 = 0 + -0.2857142857

Reorder the terms:
0.2857142857 + -0.2857142857 + -0.4285714286a + a2 = 0 + -0.2857142857

Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000
0.0000000000 + -0.4285714286a + a2 = 0 + -0.2857142857
-0.4285714286a + a2 = 0 + -0.2857142857

Combine like terms: 0 + -0.2857142857 = -0.2857142857
-0.4285714286a + a2 = -0.2857142857

The a term is -0.4285714286a.  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.
-0.4285714286a + 0.04591836735 + a2 = -0.2857142857 + 0.04591836735

Reorder the terms:
0.04591836735 + -0.4285714286a + a2 = -0.2857142857 + 0.04591836735

Combine like terms: -0.2857142857 + 0.04591836735 = -0.23979591835
0.04591836735 + -0.4285714286a + a2 = -0.23979591835

Factor a perfect square on the left side:
(a + -0.2142857143)(a + -0.2142857143) = -0.23979591835

Can't calculate square root of the right side.

The solution to this equation could not be determined.