2w-5-21w^2=0

Solution for 2w-5-21w^2=0 equation:

Simplifying
2w + -5 + -21w2 = 0

Reorder the terms:
-5 + 2w + -21w2 = 0

Solving
-5 + 2w + -21w2 = 0

Solving for variable 'w'.

Begin completing the square.  Divide all terms by
-21 the coefficient of the squared term: 

Divide each side by '-21'.
0.2380952381 + -0.09523809524w + w2 = 0

Move the constant term to the right:

Add '-0.2380952381' to each side of the equation.
0.2380952381 + -0.09523809524w + -0.2380952381 + w2 = 0 + -0.2380952381

Reorder the terms:
0.2380952381 + -0.2380952381 + -0.09523809524w + w2 = 0 + -0.2380952381

Combine like terms: 0.2380952381 + -0.2380952381 = 0.0000000000
0.0000000000 + -0.09523809524w + w2 = 0 + -0.2380952381
-0.09523809524w + w2 = 0 + -0.2380952381

Combine like terms: 0 + -0.2380952381 = -0.2380952381
-0.09523809524w + w2 = -0.2380952381

The w term is -0.09523809524w.  Take half its coefficient (-0.04761904762).
Square it (0.002267573696) and add it to both sides.

Add '0.002267573696' to each side of the equation.
-0.09523809524w + 0.002267573696 + w2 = -0.2380952381 + 0.002267573696

Reorder the terms:
0.002267573696 + -0.09523809524w + w2 = -0.2380952381 + 0.002267573696

Combine like terms: -0.2380952381 + 0.002267573696 = -0.235827664404
0.002267573696 + -0.09523809524w + w2 = -0.235827664404

Factor a perfect square on the left side:
(w + -0.04761904762)(w + -0.04761904762) = -0.235827664404

Can't calculate square root of the right side.

The solution to this equation could not be determined.