24x^2-4.9x+72=0

Solution for 24x^2-4.9x+72=0 equation:

Simplifying
24x2 + -4.9x + 72 = 0

Reorder the terms:
72 + -4.9x + 24x2 = 0

Solving
72 + -4.9x + 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'.
3 + -0.2041666667x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -0.2041666667x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -0.2041666667x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -0.2041666667x + x2 = 0 + -3
-0.2041666667x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-0.2041666667x + x2 = -3

The x term is -0.2041666667x.  Take half its coefficient (-0.1020833334).
Square it (0.01042100696) and add it to both sides.

Add '0.01042100696' to each side of the equation.
-0.2041666667x + 0.01042100696 + x2 = -3 + 0.01042100696

Reorder the terms:
0.01042100696 + -0.2041666667x + x2 = -3 + 0.01042100696

Combine like terms: -3 + 0.01042100696 = -2.98957899304
0.01042100696 + -0.2041666667x + x2 = -2.98957899304

Factor a perfect square on the left side:
(x + -0.1020833334)(x + -0.1020833334) = -2.98957899304

Can't calculate square root of the right side.

The solution to this equation could not be determined.