x^2-19x+126=0

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Solution for x^2-19x+126=0 equation:


Simplifying
x2 + -19x + 126 = 0

Reorder the terms:
126 + -19x + x2 = 0

Solving
126 + -19x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-126' to each side of the equation.
126 + -19x + -126 + x2 = 0 + -126

Reorder the terms:
126 + -126 + -19x + x2 = 0 + -126

Combine like terms: 126 + -126 = 0
0 + -19x + x2 = 0 + -126
-19x + x2 = 0 + -126

Combine like terms: 0 + -126 = -126
-19x + x2 = -126

The x term is -19x.  Take half its coefficient (-9.5).
Square it (90.25) and add it to both sides.

Add '90.25' to each side of the equation.
-19x + 90.25 + x2 = -126 + 90.25

Reorder the terms:
90.25 + -19x + x2 = -126 + 90.25

Combine like terms: -126 + 90.25 = -35.75
90.25 + -19x + x2 = -35.75

Factor a perfect square on the left side:
(x + -9.5)(x + -9.5) = -35.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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