2x^2-42x+250=0

Solution for 2x^2-42x+250=0 equation:

Simplifying
2x2 + -42x + 250 = 0

Reorder the terms:
250 + -42x + 2x2 = 0

Solving
250 + -42x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(125 + -21x + x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(125 + -21x + x2)' equal to zero and attempt to solve:

Simplifying
125 + -21x + x2 = 0

Solving
125 + -21x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-125' to each side of the equation.
125 + -21x + -125 + x2 = 0 + -125

Reorder the terms:
125 + -125 + -21x + x2 = 0 + -125

Combine like terms: 125 + -125 = 0
0 + -21x + x2 = 0 + -125
-21x + x2 = 0 + -125

Combine like terms: 0 + -125 = -125
-21x + x2 = -125

The x term is -21x.  Take half its coefficient (-10.5).
Square it (110.25) and add it to both sides.

Add '110.25' to each side of the equation.
-21x + 110.25 + x2 = -125 + 110.25

Reorder the terms:
110.25 + -21x + x2 = -125 + 110.25

Combine like terms: -125 + 110.25 = -14.75
110.25 + -21x + x2 = -14.75

Factor a perfect square on the left side:
(x + -10.5)(x + -10.5) = -14.75

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.