8x^2-33x+42=0

Solution for 8x^2-33x+42=0 equation:

Simplifying
8x2 + -33x + 42 = 0

Reorder the terms:
42 + -33x + 8x2 = 0

Solving
42 + -33x + 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'.
5.25 + -4.125x + x2 = 0

Move the constant term to the right:

Add '-5.25' to each side of the equation.
5.25 + -4.125x + -5.25 + x2 = 0 + -5.25

Reorder the terms:
5.25 + -5.25 + -4.125x + x2 = 0 + -5.25

Combine like terms: 5.25 + -5.25 = 0.00
0.00 + -4.125x + x2 = 0 + -5.25
-4.125x + x2 = 0 + -5.25

Combine like terms: 0 + -5.25 = -5.25
-4.125x + x2 = -5.25

The x term is -4.125x.  Take half its coefficient (-2.0625).
Square it (4.25390625) and add it to both sides.

Add '4.25390625' to each side of the equation.
-4.125x + 4.25390625 + x2 = -5.25 + 4.25390625

Reorder the terms:
4.25390625 + -4.125x + x2 = -5.25 + 4.25390625

Combine like terms: -5.25 + 4.25390625 = -0.99609375
4.25390625 + -4.125x + x2 = -0.99609375

Factor a perfect square on the left side:
(x + -2.0625)(x + -2.0625) = -0.99609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.