123x^2-49x+813=444

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Solution for 123x^2-49x+813=444 equation:


Simplifying
123x2 + -49x + 813 = 444

Reorder the terms:
813 + -49x + 123x2 = 444

Solving
813 + -49x + 123x2 = 444

Solving for variable 'x'.

Reorder the terms:
813 + -444 + -49x + 123x2 = 444 + -444

Combine like terms: 813 + -444 = 369
369 + -49x + 123x2 = 444 + -444

Combine like terms: 444 + -444 = 0
369 + -49x + 123x2 = 0

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

Divide each side by '123'.
3 + -0.3983739837x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -0.3983739837x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -0.3983739837x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -0.3983739837x + x2 = 0 + -3
-0.3983739837x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-0.3983739837x + x2 = -3

The x term is -0.3983739837x.  Take half its coefficient (-0.1991869919).
Square it (0.03967545774) and add it to both sides.

Add '0.03967545774' to each side of the equation.
-0.3983739837x + 0.03967545774 + x2 = -3 + 0.03967545774

Reorder the terms:
0.03967545774 + -0.3983739837x + x2 = -3 + 0.03967545774

Combine like terms: -3 + 0.03967545774 = -2.96032454226
0.03967545774 + -0.3983739837x + x2 = -2.96032454226

Factor a perfect square on the left side:
(x + -0.1991869919)(x + -0.1991869919) = -2.96032454226

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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