13x^2-21x+432=0

Solution for 13x^2-21x+432=0 equation:

Simplifying
13x2 + -21x + 432 = 0

Reorder the terms:
432 + -21x + 13x2 = 0

Solving
432 + -21x + 13x2 = 0

Solving for variable 'x'.

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

Divide each side by '13'.
33.23076923 + -1.615384615x + x2 = 0

Move the constant term to the right:

Add '-33.23076923' to each side of the equation.
33.23076923 + -1.615384615x + -33.23076923 + x2 = 0 + -33.23076923

Reorder the terms:
33.23076923 + -33.23076923 + -1.615384615x + x2 = 0 + -33.23076923

Combine like terms: 33.23076923 + -33.23076923 = 0.00000000
0.00000000 + -1.615384615x + x2 = 0 + -33.23076923
-1.615384615x + x2 = 0 + -33.23076923

Combine like terms: 0 + -33.23076923 = -33.23076923
-1.615384615x + x2 = -33.23076923

The x term is -1.615384615x.  Take half its coefficient (-0.8076923075).
Square it (0.6523668636) and add it to both sides.

Add '0.6523668636' to each side of the equation.
-1.615384615x + 0.6523668636 + x2 = -33.23076923 + 0.6523668636

Reorder the terms:
0.6523668636 + -1.615384615x + x2 = -33.23076923 + 0.6523668636

Combine like terms: -33.23076923 + 0.6523668636 = -32.5784023664
0.6523668636 + -1.615384615x + x2 = -32.5784023664

Factor a perfect square on the left side:
(x + -0.8076923075)(x + -0.8076923075) = -32.5784023664

Can't calculate square root of the right side.

The solution to this equation could not be determined.