7x-6=x^2+36

Solution for 7x-6=x^2+36 equation:

Simplifying
7x + -6 = x2 + 36

Reorder the terms:
-6 + 7x = x2 + 36

Reorder the terms:
-6 + 7x = 36 + x2

Solving
-6 + 7x = 36 + x2

Solving for variable 'x'.

Reorder the terms:
-6 + -36 + 7x + -1x2 = 36 + x2 + -36 + -1x2

Combine like terms: -6 + -36 = -42
-42 + 7x + -1x2 = 36 + x2 + -36 + -1x2

Reorder the terms:
-42 + 7x + -1x2 = 36 + -36 + x2 + -1x2

Combine like terms: 36 + -36 = 0
-42 + 7x + -1x2 = 0 + x2 + -1x2
-42 + 7x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-42 + 7x + -1x2 = 0

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

Divide each side by '-1'.
42 + -7x + x2 = 0

Move the constant term to the right:

Add '-42' to each side of the equation.
42 + -7x + -42 + x2 = 0 + -42

Reorder the terms:
42 + -42 + -7x + x2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -7x + x2 = 0 + -42
-7x + x2 = 0 + -42

Combine like terms: 0 + -42 = -42
-7x + x2 = -42

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = -42 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -42 + 12.25

Combine like terms: -42 + 12.25 = -29.75
12.25 + -7x + x2 = -29.75

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = -29.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.