3x^2+250x+18000=1700

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Solution for 3x^2+250x+18000=1700 equation: 


Simplifying
3x2 + 250x + 18000 = 1700

Reorder the terms:
18000 + 250x + 3x2 = 1700

Solving
18000 + 250x + 3x2 = 1700

Solving for variable 'x'.

Reorder the terms:
18000 + -1700 + 250x + 3x2 = 1700 + -1700

Combine like terms: 18000 + -1700 = 16300
16300 + 250x + 3x2 = 1700 + -1700

Combine like terms: 1700 + -1700 = 0
16300 + 250x + 3x2 = 0

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

Divide each side by '3'.
5433.333333 + 83.33333333x + x2 = 0

Move the constant term to the right:

Add '-5433.333333' to each side of the equation.
5433.333333 + 83.33333333x + -5433.333333 + x2 = 0 + -5433.333333

Reorder the terms:
5433.333333 + -5433.333333 + 83.33333333x + x2 = 0 + -5433.333333

Combine like terms: 5433.333333 + -5433.333333 = 0.000000
0.000000 + 83.33333333x + x2 = 0 + -5433.333333
83.33333333x + x2 = 0 + -5433.333333

Combine like terms: 0 + -5433.333333 = -5433.333333
83.33333333x + x2 = -5433.333333

The x term is 83.33333333x.  Take half its coefficient (41.66666667).
Square it (1736.111111) and add it to both sides.

Add '1736.111111' to each side of the equation.
83.33333333x + 1736.111111 + x2 = -5433.333333 + 1736.111111

Reorder the terms:
1736.111111 + 83.33333333x + x2 = -5433.333333 + 1736.111111

Combine like terms: -5433.333333 + 1736.111111 = -3697.222222
1736.111111 + 83.33333333x + x2 = -3697.222222

Factor a perfect square on the left side:
(x + 41.66666667)(x + 41.66666667) = -3697.222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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