9x^2+1200x+45000=0

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Solution for 9x^2+1200x+45000=0 equation: 


Simplifying
9x2 + 1200x + 45000 = 0

Reorder the terms:
45000 + 1200x + 9x2 = 0

Solving
45000 + 1200x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(15000 + 400x + 3x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(15000 + 400x + 3x2)' equal to zero and attempt to solve:

Simplifying
15000 + 400x + 3x2 = 0

Solving
15000 + 400x + 3x2 = 0

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

Divide each side by '3'.
5000 + 133.3333333x + x2 = 0

Move the constant term to the right:

Add '-5000' to each side of the equation.
5000 + 133.3333333x + -5000 + x2 = 0 + -5000

Reorder the terms:
5000 + -5000 + 133.3333333x + x2 = 0 + -5000

Combine like terms: 5000 + -5000 = 0
0 + 133.3333333x + x2 = 0 + -5000
133.3333333x + x2 = 0 + -5000

Combine like terms: 0 + -5000 = -5000
133.3333333x + x2 = -5000

The x term is 133.3333333x.  Take half its coefficient (66.66666665).
Square it (4444.444442) and add it to both sides.

Add '4444.444442' to each side of the equation.
133.3333333x + 4444.444442 + x2 = -5000 + 4444.444442

Reorder the terms:
4444.444442 + 133.3333333x + x2 = -5000 + 4444.444442

Combine like terms: -5000 + 4444.444442 = -555.555558
4444.444442 + 133.3333333x + x2 = -555.555558

Factor a perfect square on the left side:
(x + 66.66666665)(x + 66.66666665) = -555.555558

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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