300x^2+20000x+58000000=0

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Solution for 300x^2+20000x+58000000=0 equation: 


Simplifying
300x2 + 20000x + 58000000 = 0

Reorder the terms:
58000000 + 20000x + 300x2 = 0

Solving
58000000 + 20000x + 300x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '100'.
100(580000 + 200x + 3x2) = 0

Ignore the factor 100.

Subproblem 1
Set the factor '(580000 + 200x + 3x2)' equal to zero and attempt to solve:

Simplifying
580000 + 200x + 3x2 = 0

Solving
580000 + 200x + 3x2 = 0

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

Divide each side by '3'.
193333.3333 + 66.66666667x + x2 = 0

Move the constant term to the right:

Add '-193333.3333' to each side of the equation.
193333.3333 + 66.66666667x + -193333.3333 + x2 = 0 + -193333.3333

Reorder the terms:
193333.3333 + -193333.3333 + 66.66666667x + x2 = 0 + -193333.3333

Combine like terms: 193333.3333 + -193333.3333 = 0.0000
0.0000 + 66.66666667x + x2 = 0 + -193333.3333
66.66666667x + x2 = 0 + -193333.3333

Combine like terms: 0 + -193333.3333 = -193333.3333
66.66666667x + x2 = -193333.3333

The x term is 66.66666667x.  Take half its coefficient (33.33333334).
Square it (1111.111112) and add it to both sides.

Add '1111.111112' to each side of the equation.
66.66666667x + 1111.111112 + x2 = -193333.3333 + 1111.111112

Reorder the terms:
1111.111112 + 66.66666667x + x2 = -193333.3333 + 1111.111112

Combine like terms: -193333.3333 + 1111.111112 = -192222.222188
1111.111112 + 66.66666667x + x2 = -192222.222188

Factor a perfect square on the left side:
(x + 33.33333334)(x + 33.33333334) = -192222.222188

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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