-2.09x^2+77.85x+741=1374240

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Solution for -2.09x^2+77.85x+741=1374240 equation:


Simplifying
-2.09x2 + 77.85x + 741 = 1374240

Reorder the terms:
741 + 77.85x + -2.09x2 = 1374240

Solving
741 + 77.85x + -2.09x2 = 1374240

Solving for variable 'x'.

Reorder the terms:
741 + -1374240 + 77.85x + -2.09x2 = 1374240 + -1374240

Combine like terms: 741 + -1374240 = -1373499
-1373499 + 77.85x + -2.09x2 = 1374240 + -1374240

Combine like terms: 1374240 + -1374240 = 0
-1373499 + 77.85x + -2.09x2 = 0

Begin completing the square.  Divide all terms by
-2.09 the coefficient of the squared term: 

Divide each side by '-2.09'.
657176.555 + -37.24880383x + x2 = 0

Move the constant term to the right:

Add '-657176.555' to each side of the equation.
657176.555 + -37.24880383x + -657176.555 + x2 = 0 + -657176.555

Reorder the terms:
657176.555 + -657176.555 + -37.24880383x + x2 = 0 + -657176.555

Combine like terms: 657176.555 + -657176.555 = 0.000
0.000 + -37.24880383x + x2 = 0 + -657176.555
-37.24880383x + x2 = 0 + -657176.555

Combine like terms: 0 + -657176.555 = -657176.555
-37.24880383x + x2 = -657176.555

The x term is -37.24880383x.  Take half its coefficient (-18.62440192).
Square it (346.8683469) and add it to both sides.

Add '346.8683469' to each side of the equation.
-37.24880383x + 346.8683469 + x2 = -657176.555 + 346.8683469

Reorder the terms:
346.8683469 + -37.24880383x + x2 = -657176.555 + 346.8683469

Combine like terms: -657176.555 + 346.8683469 = -656829.6866531
346.8683469 + -37.24880383x + x2 = -656829.6866531

Factor a perfect square on the left side:
(x + -18.62440192)(x + -18.62440192) = -656829.6866531

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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