x^2-44x+1600=0

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Solution for x^2-44x+1600=0 equation:


Simplifying
x2 + -44x + 1600 = 0

Reorder the terms:
1600 + -44x + x2 = 0

Solving
1600 + -44x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-1600' to each side of the equation.
1600 + -44x + -1600 + x2 = 0 + -1600

Reorder the terms:
1600 + -1600 + -44x + x2 = 0 + -1600

Combine like terms: 1600 + -1600 = 0
0 + -44x + x2 = 0 + -1600
-44x + x2 = 0 + -1600

Combine like terms: 0 + -1600 = -1600
-44x + x2 = -1600

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 = -1600 + 484

Reorder the terms:
484 + -44x + x2 = -1600 + 484

Combine like terms: -1600 + 484 = -1116
484 + -44x + x2 = -1116

Factor a perfect square on the left side:
(x + -22)(x + -22) = -1116

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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