2x^2-22x+100=0

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Solution for 2x^2-22x+100=0 equation: 


Simplifying
2x2 + -22x + 100 = 0

Reorder the terms:
100 + -22x + 2x2 = 0

Solving
100 + -22x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(50 + -11x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(50 + -11x + x2)' equal to zero and attempt to solve:

Simplifying
50 + -11x + x2 = 0

Solving
50 + -11x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-50' to each side of the equation.
50 + -11x + -50 + x2 = 0 + -50

Reorder the terms:
50 + -50 + -11x + x2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -11x + x2 = 0 + -50
-11x + x2 = 0 + -50

Combine like terms: 0 + -50 = -50
-11x + x2 = -50

The x term is -11x.  Take half its coefficient (-5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
-11x + 30.25 + x2 = -50 + 30.25

Reorder the terms:
30.25 + -11x + x2 = -50 + 30.25

Combine like terms: -50 + 30.25 = -19.75
30.25 + -11x + x2 = -19.75

Factor a perfect square on the left side:
(x + -5.5)(x + -5.5) = -19.75

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.

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