0=x^2-11x+32

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Solution for 0=x^2-11x+32 equation:


Simplifying
0 = x2 + -11x + 32

Reorder the terms:
0 = 32 + -11x + x2

Solving
0 = 32 + -11x + x2

Solving for variable 'x'.

Combine like terms: 0 + -32 = -32
-32 + 11x + -1x2 = 32 + -11x + x2 + -32 + 11x + -1x2

Reorder the terms:
-32 + 11x + -1x2 = 32 + -32 + -11x + 11x + x2 + -1x2

Combine like terms: 32 + -32 = 0
-32 + 11x + -1x2 = 0 + -11x + 11x + x2 + -1x2
-32 + 11x + -1x2 = -11x + 11x + x2 + -1x2

Combine like terms: -11x + 11x = 0
-32 + 11x + -1x2 = 0 + x2 + -1x2
-32 + 11x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-32 + 11x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
32 + -11x + x2 = 0

Move the constant term to the right:

Add '-32' to each side of the equation.
32 + -11x + -32 + x2 = 0 + -32

Reorder the terms:
32 + -32 + -11x + x2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -11x + x2 = 0 + -32
-11x + x2 = 0 + -32

Combine like terms: 0 + -32 = -32
-11x + x2 = -32

The x term is -11x.  Take half its coefficient (-5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
-11x + 30.25 + x2 = -32 + 30.25

Reorder the terms:
30.25 + -11x + x2 = -32 + 30.25

Combine like terms: -32 + 30.25 = -1.75
30.25 + -11x + x2 = -1.75

Factor a perfect square on the left side:
(x + -5.5)(x + -5.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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