x^2-44x+488=0

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Solution for x^2-44x+488=0 equation:


Simplifying
x2 + -44x + 488 = 0

Reorder the terms:
488 + -44x + x2 = 0

Solving
488 + -44x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-488' to each side of the equation.
488 + -44x + -488 + x2 = 0 + -488

Reorder the terms:
488 + -488 + -44x + x2 = 0 + -488

Combine like terms: 488 + -488 = 0
0 + -44x + x2 = 0 + -488
-44x + x2 = 0 + -488

Combine like terms: 0 + -488 = -488
-44x + x2 = -488

The x term is -44x.  Take half its coefficient (-22).
Square it (484) and add it to both sides.

Add '484' to each side of the equation.
-44x + 484 + x2 = -488 + 484

Reorder the terms:
484 + -44x + x2 = -488 + 484

Combine like terms: -488 + 484 = -4
484 + -44x + x2 = -4

Factor a perfect square on the left side:
(x + -22)(x + -22) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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