3=X^2-X+7+6

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Solution for 3=X^2-X+7+6 equation: 


Simplifying
3 = X2 + -1X + 7 + 6

Reorder the terms:
3 = 7 + 6 + -1X + X2

Combine like terms: 7 + 6 = 13
3 = 13 + -1X + X2

Solving
3 = 13 + -1X + X2

Solving for variable 'X'.

Combine like terms: 3 + -13 = -10
-10 + X + -1X2 = 13 + -1X + X2 + -13 + X + -1X2

Reorder the terms:
-10 + X + -1X2 = 13 + -13 + -1X + X + X2 + -1X2

Combine like terms: 13 + -13 = 0
-10 + X + -1X2 = 0 + -1X + X + X2 + -1X2
-10 + X + -1X2 = -1X + X + X2 + -1X2

Combine like terms: -1X + X = 0
-10 + X + -1X2 = 0 + X2 + -1X2
-10 + X + -1X2 = X2 + -1X2

Combine like terms: X2 + -1X2 = 0
-10 + X + -1X2 = 0

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

Divide each side by '-1'.
10 + -1X + X2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -1X + -10 + X2 = 0 + -10

Reorder the terms:
10 + -10 + -1X + X2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1X + X2 = 0 + -10
-1X + X2 = 0 + -10

Combine like terms: 0 + -10 = -10
-1X + X2 = -10

The X term is X.  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 = -10 + 0.25

Reorder the terms:
0.25 + -1X + X2 = -10 + 0.25

Combine like terms: -10 + 0.25 = -9.75
0.25 + -1X + X2 = -9.75

Factor a perfect square on the left side:
(X + 0.5)(X + 0.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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