x^2+49=26x+1

Solution for x^2+49=26x+1 equation:

Simplifying
x2 + 49 = 26x + 1

Reorder the terms:
49 + x2 = 26x + 1

Reorder the terms:
49 + x2 = 1 + 26x

Solving
49 + x2 = 1 + 26x

Solving for variable 'x'.

Reorder the terms:
49 + -1 + -26x + x2 = 1 + 26x + -1 + -26x

Combine like terms: 49 + -1 = 48
48 + -26x + x2 = 1 + 26x + -1 + -26x

Reorder the terms:
48 + -26x + x2 = 1 + -1 + 26x + -26x

Combine like terms: 1 + -1 = 0
48 + -26x + x2 = 0 + 26x + -26x
48 + -26x + x2 = 26x + -26x

Combine like terms: 26x + -26x = 0
48 + -26x + x2 = 0

Factor a trinomial.
(2 + -1x)(24 + -1x) = 0

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Subproblem 2
Set the factor '(24 + -1x)' equal to zero and attempt to solve:

Simplifying
24 + -1x = 0

Solving
24 + -1x = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 0 + -24
-1x = 0 + -24

Combine like terms: 0 + -24 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24
Solution
x = {2, 24}