1381000=-2.05x^2+77.85x+742

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Solution for 1381000=-2.05x^2+77.85x+742 equation: 


Simplifying
1381000 = -2.05x2 + 77.85x + 742

Reorder the terms:
1381000 = 742 + 77.85x + -2.05x2

Solving
1381000 = 742 + 77.85x + -2.05x2

Solving for variable 'x'.

Combine like terms: 1381000 + -742 = 1380258
1380258 + -77.85x + 2.05x2 = 742 + 77.85x + -2.05x2 + -742 + -77.85x + 2.05x2

Reorder the terms:
1380258 + -77.85x + 2.05x2 = 742 + -742 + 77.85x + -77.85x + -2.05x2 + 2.05x2

Combine like terms: 742 + -742 = 0
1380258 + -77.85x + 2.05x2 = 0 + 77.85x + -77.85x + -2.05x2 + 2.05x2
1380258 + -77.85x + 2.05x2 = 77.85x + -77.85x + -2.05x2 + 2.05x2

Combine like terms: 77.85x + -77.85x = 0.00
1380258 + -77.85x + 2.05x2 = 0.00 + -2.05x2 + 2.05x2
1380258 + -77.85x + 2.05x2 = -2.05x2 + 2.05x2

Combine like terms: -2.05x2 + 2.05x2 = 0.00
1380258 + -77.85x + 2.05x2 = 0.00

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

Divide each side by '2.05'.
673296.5854 + -37.97560976x + x2 = 0

Move the constant term to the right:

Add '-673296.5854' to each side of the equation.
673296.5854 + -37.97560976x + -673296.5854 + x2 = 0 + -673296.5854

Reorder the terms:
673296.5854 + -673296.5854 + -37.97560976x + x2 = 0 + -673296.5854

Combine like terms: 673296.5854 + -673296.5854 = 0.0000
0.0000 + -37.97560976x + x2 = 0 + -673296.5854
-37.97560976x + x2 = 0 + -673296.5854

Combine like terms: 0 + -673296.5854 = -673296.5854
-37.97560976x + x2 = -673296.5854

The x term is -37.97560976x.  Take half its coefficient (-18.98780488).
Square it (360.5367342) and add it to both sides.

Add '360.5367342' to each side of the equation.
-37.97560976x + 360.5367342 + x2 = -673296.5854 + 360.5367342

Reorder the terms:
360.5367342 + -37.97560976x + x2 = -673296.5854 + 360.5367342

Combine like terms: -673296.5854 + 360.5367342 = -672936.0486658
360.5367342 + -37.97560976x + x2 = -672936.0486658

Factor a perfect square on the left side:
(x + -18.98780488)(x + -18.98780488) = -672936.0486658

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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