20x*x-2x+50=0

Solution for 20x*x-2x+50=0 equation:

Simplifying
20x * x + -2x + 50 = 0

Multiply x * x
20x2 + -2x + 50 = 0

Reorder the terms:
50 + -2x + 20x2 = 0

Solving
50 + -2x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + -1x + 10x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(25 + -1x + 10x2)' equal to zero and attempt to solve:

Simplifying
25 + -1x + 10x2 = 0

Solving
25 + -1x + 10x2 = 0

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

Divide each side by '10'.
2.5 + -0.1x + x2 = 0.0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -0.1x + -2.5 + x2 = 0.0 + -2.5

Reorder the terms:
2.5 + -2.5 + -0.1x + x2 = 0.0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -0.1x + x2 = 0.0 + -2.5
-0.1x + x2 = 0.0 + -2.5

Combine like terms: 0.0 + -2.5 = -2.5
-0.1x + x2 = -2.5

The x term is -0.1x.  Take half its coefficient (-0.05).
Square it (0.0025) and add it to both sides.

Add '0.0025' to each side of the equation.
-0.1x + 0.0025 + x2 = -2.5 + 0.0025

Reorder the terms:
0.0025 + -0.1x + x2 = -2.5 + 0.0025

Combine like terms: -2.5 + 0.0025 = -2.4975
0.0025 + -0.1x + x2 = -2.4975

Factor a perfect square on the left side:
(x + -0.05)(x + -0.05) = -2.4975

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.