x^2+35=12x-1

Solution for x^2+35=12x-1 equation:

Simplifying
x2 + 35 = 12x + -1

Reorder the terms:
35 + x2 = 12x + -1

Reorder the terms:
35 + x2 = -1 + 12x

Solving
35 + x2 = -1 + 12x

Solving for variable 'x'.

Reorder the terms:
35 + 1 + -12x + x2 = -1 + 12x + 1 + -12x

Combine like terms: 35 + 1 = 36
36 + -12x + x2 = -1 + 12x + 1 + -12x

Reorder the terms:
36 + -12x + x2 = -1 + 1 + 12x + -12x

Combine like terms: -1 + 1 = 0
36 + -12x + x2 = 0 + 12x + -12x
36 + -12x + x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
36 + -12x + x2 = 0

Factor a trinomial.
(6 + -1x)(6 + -1x) = 0

Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {6, 6}