-5=x*x-5x+6

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Solution for -5=x*x-5x+6 equation:


Simplifying
-5 = x * x + -5x + 6

Multiply x * x
-5 = x2 + -5x + 6

Reorder the terms:
-5 = 6 + -5x + x2

Solving
-5 = 6 + -5x + x2

Solving for variable 'x'.

Combine like terms: -5 + -6 = -11
-11 + 5x + -1x2 = 6 + -5x + x2 + -6 + 5x + -1x2

Reorder the terms:
-11 + 5x + -1x2 = 6 + -6 + -5x + 5x + x2 + -1x2

Combine like terms: 6 + -6 = 0
-11 + 5x + -1x2 = 0 + -5x + 5x + x2 + -1x2
-11 + 5x + -1x2 = -5x + 5x + x2 + -1x2

Combine like terms: -5x + 5x = 0
-11 + 5x + -1x2 = 0 + x2 + -1x2
-11 + 5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-11 + 5x + -1x2 = 0

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

Divide each side by '-1'.
11 + -5x + x2 = 0

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + -5x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + -5x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -5x + x2 = 0 + -11
-5x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
-5x + x2 = -11

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -11 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -11 + 6.25

Combine like terms: -11 + 6.25 = -4.75
6.25 + -5x + x2 = -4.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -4.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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