x^2+13x+65=7

Solution for x^2+13x+65=7 equation:

Simplifying
x2 + 13x + 65 = 7

Reorder the terms:
65 + 13x + x2 = 7

Solving
65 + 13x + x2 = 7

Solving for variable 'x'.

Reorder the terms:
65 + -7 + 13x + x2 = 7 + -7

Combine like terms: 65 + -7 = 58
58 + 13x + x2 = 7 + -7

Combine like terms: 7 + -7 = 0
58 + 13x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-58' to each side of the equation.
58 + 13x + -58 + x2 = 0 + -58

Reorder the terms:
58 + -58 + 13x + x2 = 0 + -58

Combine like terms: 58 + -58 = 0
0 + 13x + x2 = 0 + -58
13x + x2 = 0 + -58

Combine like terms: 0 + -58 = -58
13x + x2 = -58

The x term is 13x.  Take half its coefficient (6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
13x + 42.25 + x2 = -58 + 42.25

Reorder the terms:
42.25 + 13x + x2 = -58 + 42.25

Combine like terms: -58 + 42.25 = -15.75
42.25 + 13x + x2 = -15.75

Factor a perfect square on the left side:
(x + 6.5)(x + 6.5) = -15.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.