100x^2-100x+169=0

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Solution for 100x^2-100x+169=0 equation:


Simplifying
100x2 + -100x + 169 = 0

Reorder the terms:
169 + -100x + 100x2 = 0

Solving
169 + -100x + 100x2 = 0

Solving for variable 'x'.

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

Divide each side by '100'.
1.69 + -1x + x2 = 0

Move the constant term to the right:

Add '-1.69' to each side of the equation.
1.69 + -1x + -1.69 + x2 = 0 + -1.69

Reorder the terms:
1.69 + -1.69 + -1x + x2 = 0 + -1.69

Combine like terms: 1.69 + -1.69 = 0.00
0.00 + -1x + x2 = 0 + -1.69
-1x + x2 = 0 + -1.69

Combine like terms: 0 + -1.69 = -1.69
-1x + x2 = -1.69

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -1.69 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.69 + 0.25

Combine like terms: -1.69 + 0.25 = -1.44
0.25 + -1x + x2 = -1.44

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -1.44

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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