3x^2+50x+75000=0

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Solution for 3x^2+50x+75000=0 equation:


Simplifying
3x2 + 50x + 75000 = 0

Reorder the terms:
75000 + 50x + 3x2 = 0

Solving
75000 + 50x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
25000 + 16.66666667x + x2 = 0

Move the constant term to the right:

Add '-25000' to each side of the equation.
25000 + 16.66666667x + -25000 + x2 = 0 + -25000

Reorder the terms:
25000 + -25000 + 16.66666667x + x2 = 0 + -25000

Combine like terms: 25000 + -25000 = 0
0 + 16.66666667x + x2 = 0 + -25000
16.66666667x + x2 = 0 + -25000

Combine like terms: 0 + -25000 = -25000
16.66666667x + x2 = -25000

The x term is 16.66666667x.  Take half its coefficient (8.333333335).
Square it (69.44444447) and add it to both sides.

Add '69.44444447' to each side of the equation.
16.66666667x + 69.44444447 + x2 = -25000 + 69.44444447

Reorder the terms:
69.44444447 + 16.66666667x + x2 = -25000 + 69.44444447

Combine like terms: -25000 + 69.44444447 = -24930.55555553
69.44444447 + 16.66666667x + x2 = -24930.55555553

Factor a perfect square on the left side:
(x + 8.333333335)(x + 8.333333335) = -24930.55555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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