6x^2-7x+24=0

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Solution for 6x^2-7x+24=0 equation:


Simplifying
6x2 + -7x + 24 = 0

Reorder the terms:
24 + -7x + 6x2 = 0

Solving
24 + -7x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
4 + -1.166666667x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -1.166666667x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -1.166666667x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1.166666667x + x2 = 0 + -4
-1.166666667x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-1.166666667x + x2 = -4

The x term is -1.166666667x.  Take half its coefficient (-0.5833333335).
Square it (0.3402777780) and add it to both sides.

Add '0.3402777780' to each side of the equation.
-1.166666667x + 0.3402777780 + x2 = -4 + 0.3402777780

Reorder the terms:
0.3402777780 + -1.166666667x + x2 = -4 + 0.3402777780

Combine like terms: -4 + 0.3402777780 = -3.659722222
0.3402777780 + -1.166666667x + x2 = -3.659722222

Factor a perfect square on the left side:
(x + -0.5833333335)(x + -0.5833333335) = -3.659722222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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