12x^2-220x+2400=0

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Solution for 12x^2-220x+2400=0 equation: 


Simplifying
12x2 + -220x + 2400 = 0

Reorder the terms:
2400 + -220x + 12x2 = 0

Solving
2400 + -220x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(600 + -55x + 3x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(600 + -55x + 3x2)' equal to zero and attempt to solve:

Simplifying
600 + -55x + 3x2 = 0

Solving
600 + -55x + 3x2 = 0

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

Divide each side by '3'.
200 + -18.33333333x + x2 = 0

Move the constant term to the right:

Add '-200' to each side of the equation.
200 + -18.33333333x + -200 + x2 = 0 + -200

Reorder the terms:
200 + -200 + -18.33333333x + x2 = 0 + -200

Combine like terms: 200 + -200 = 0
0 + -18.33333333x + x2 = 0 + -200
-18.33333333x + x2 = 0 + -200

Combine like terms: 0 + -200 = -200
-18.33333333x + x2 = -200

The x term is -18.33333333x.  Take half its coefficient (-9.166666665).
Square it (84.02777775) and add it to both sides.

Add '84.02777775' to each side of the equation.
-18.33333333x + 84.02777775 + x2 = -200 + 84.02777775

Reorder the terms:
84.02777775 + -18.33333333x + x2 = -200 + 84.02777775

Combine like terms: -200 + 84.02777775 = -115.97222225
84.02777775 + -18.33333333x + x2 = -115.97222225

Factor a perfect square on the left side:
(x + -9.166666665)(x + -9.166666665) = -115.97222225

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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