-2.06x^2+77.86x+741=1405040

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Solution for -2.06x^2+77.86x+741=1405040 equation:


Simplifying
-2.06x2 + 77.86x + 741 = 1405040

Reorder the terms:
741 + 77.86x + -2.06x2 = 1405040

Solving
741 + 77.86x + -2.06x2 = 1405040

Solving for variable 'x'.

Reorder the terms:
741 + -1405040 + 77.86x + -2.06x2 = 1405040 + -1405040

Combine like terms: 741 + -1405040 = -1404299
-1404299 + 77.86x + -2.06x2 = 1405040 + -1405040

Combine like terms: 1405040 + -1405040 = 0
-1404299 + 77.86x + -2.06x2 = 0

Begin completing the square.  Divide all terms by
-2.06 the coefficient of the squared term: 

Divide each side by '-2.06'.
681698.5437 + -37.7961165x + x2 = 0

Move the constant term to the right:

Add '-681698.5437' to each side of the equation.
681698.5437 + -37.7961165x + -681698.5437 + x2 = 0 + -681698.5437

Reorder the terms:
681698.5437 + -681698.5437 + -37.7961165x + x2 = 0 + -681698.5437

Combine like terms: 681698.5437 + -681698.5437 = 0.0000
0.0000 + -37.7961165x + x2 = 0 + -681698.5437
-37.7961165x + x2 = 0 + -681698.5437

Combine like terms: 0 + -681698.5437 = -681698.5437
-37.7961165x + x2 = -681698.5437

The x term is -37.7961165x.  Take half its coefficient (-18.89805825).
Square it (357.1366056) and add it to both sides.

Add '357.1366056' to each side of the equation.
-37.7961165x + 357.1366056 + x2 = -681698.5437 + 357.1366056

Reorder the terms:
357.1366056 + -37.7961165x + x2 = -681698.5437 + 357.1366056

Combine like terms: -681698.5437 + 357.1366056 = -681341.4070944
357.1366056 + -37.7961165x + x2 = -681341.4070944

Factor a perfect square on the left side:
(x + -18.89805825)(x + -18.89805825) = -681341.4070944

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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