8x^2-3x+2=0

Solution for 8x^2-3x+2=0 equation:

Simplifying
8x2 + -3x + 2 = 0

Reorder the terms:
2 + -3x + 8x2 = 0

Solving
2 + -3x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
0.25 + -0.375x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.375x + -0.25 + x2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.375x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.375x + x2 = 0 + -0.25
-0.375x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.375x + x2 = -0.25

The x term is -0.375x.  Take half its coefficient (-0.1875).
Square it (0.03515625) and add it to both sides.

Add '0.03515625' to each side of the equation.
-0.375x + 0.03515625 + x2 = -0.25 + 0.03515625

Reorder the terms:
0.03515625 + -0.375x + x2 = -0.25 + 0.03515625

Combine like terms: -0.25 + 0.03515625 = -0.21484375
0.03515625 + -0.375x + x2 = -0.21484375

Factor a perfect square on the left side:
(x + -0.1875)(x + -0.1875) = -0.21484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.