0=x^2-4x+39

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Solution for 0=x^2-4x+39 equation:


Simplifying
0 = x2 + -4x + 39

Reorder the terms:
0 = 39 + -4x + x2

Solving
0 = 39 + -4x + x2

Solving for variable 'x'.

Combine like terms: 0 + -39 = -39
-39 + 4x + -1x2 = 39 + -4x + x2 + -39 + 4x + -1x2

Reorder the terms:
-39 + 4x + -1x2 = 39 + -39 + -4x + 4x + x2 + -1x2

Combine like terms: 39 + -39 = 0
-39 + 4x + -1x2 = 0 + -4x + 4x + x2 + -1x2
-39 + 4x + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
-39 + 4x + -1x2 = 0 + x2 + -1x2
-39 + 4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-39 + 4x + -1x2 = 0

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

Divide each side by '-1'.
39 + -4x + x2 = 0

Move the constant term to the right:

Add '-39' to each side of the equation.
39 + -4x + -39 + x2 = 0 + -39

Reorder the terms:
39 + -39 + -4x + x2 = 0 + -39

Combine like terms: 39 + -39 = 0
0 + -4x + x2 = 0 + -39
-4x + x2 = 0 + -39

Combine like terms: 0 + -39 = -39
-4x + x2 = -39

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -39 + 4

Reorder the terms:
4 + -4x + x2 = -39 + 4

Combine like terms: -39 + 4 = -35
4 + -4x + x2 = -35

Factor a perfect square on the left side:
(x + -2)(x + -2) = -35

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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