-2.02x^2+77.85x+747=1358930

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Solution for -2.02x^2+77.85x+747=1358930 equation:


Simplifying
-2.02x2 + 77.85x + 747 = 1358930

Reorder the terms:
747 + 77.85x + -2.02x2 = 1358930

Solving
747 + 77.85x + -2.02x2 = 1358930

Solving for variable 'x'.

Reorder the terms:
747 + -1358930 + 77.85x + -2.02x2 = 1358930 + -1358930

Combine like terms: 747 + -1358930 = -1358183
-1358183 + 77.85x + -2.02x2 = 1358930 + -1358930

Combine like terms: 1358930 + -1358930 = 0
-1358183 + 77.85x + -2.02x2 = 0

Begin completing the square.  Divide all terms by
-2.02 the coefficient of the squared term: 

Divide each side by '-2.02'.
672367.8218 + -38.53960396x + x2 = 0

Move the constant term to the right:

Add '-672367.8218' to each side of the equation.
672367.8218 + -38.53960396x + -672367.8218 + x2 = 0 + -672367.8218

Reorder the terms:
672367.8218 + -672367.8218 + -38.53960396x + x2 = 0 + -672367.8218

Combine like terms: 672367.8218 + -672367.8218 = 0.0000
0.0000 + -38.53960396x + x2 = 0 + -672367.8218
-38.53960396x + x2 = 0 + -672367.8218

Combine like terms: 0 + -672367.8218 = -672367.8218
-38.53960396x + x2 = -672367.8218

The x term is -38.53960396x.  Take half its coefficient (-19.26980198).
Square it (371.3252683) and add it to both sides.

Add '371.3252683' to each side of the equation.
-38.53960396x + 371.3252683 + x2 = -672367.8218 + 371.3252683

Reorder the terms:
371.3252683 + -38.53960396x + x2 = -672367.8218 + 371.3252683

Combine like terms: -672367.8218 + 371.3252683 = -671996.4965317
371.3252683 + -38.53960396x + x2 = -671996.4965317

Factor a perfect square on the left side:
(x + -19.26980198)(x + -19.26980198) = -671996.4965317

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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