24x^2-13x+21=0

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Solution for 24x^2-13x+21=0 equation:


Simplifying
24x2 + -13x + 21 = 0

Reorder the terms:
21 + -13x + 24x2 = 0

Solving
21 + -13x + 24x2 = 0

Solving for variable 'x'.

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

Divide each side by '24'.
0.875 + -0.5416666667x + x2 = 0

Move the constant term to the right:

Add '-0.875' to each side of the equation.
0.875 + -0.5416666667x + -0.875 + x2 = 0 + -0.875

Reorder the terms:
0.875 + -0.875 + -0.5416666667x + x2 = 0 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + -0.5416666667x + x2 = 0 + -0.875
-0.5416666667x + x2 = 0 + -0.875

Combine like terms: 0 + -0.875 = -0.875
-0.5416666667x + x2 = -0.875

The x term is -0.5416666667x.  Take half its coefficient (-0.2708333334).
Square it (0.07335069448) and add it to both sides.

Add '0.07335069448' to each side of the equation.
-0.5416666667x + 0.07335069448 + x2 = -0.875 + 0.07335069448

Reorder the terms:
0.07335069448 + -0.5416666667x + x2 = -0.875 + 0.07335069448

Combine like terms: -0.875 + 0.07335069448 = -0.80164930552
0.07335069448 + -0.5416666667x + x2 = -0.80164930552

Factor a perfect square on the left side:
(x + -0.2708333334)(x + -0.2708333334) = -0.80164930552

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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