x^2-36x+40=5

Solution for x^2-36x+40=5 equation:

Simplifying
x2 + -36x + 40 = 5

Reorder the terms:
40 + -36x + x2 = 5

Solving
40 + -36x + x2 = 5

Solving for variable 'x'.

Reorder the terms:
40 + -5 + -36x + x2 = 5 + -5

Combine like terms: 40 + -5 = 35
35 + -36x + x2 = 5 + -5

Combine like terms: 5 + -5 = 0
35 + -36x + x2 = 0

Factor a trinomial.
(1 + -1x)(35 + -1x) = 0

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Subproblem 2
Set the factor '(35 + -1x)' equal to zero and attempt to solve:

Simplifying
35 + -1x = 0

Solving
35 + -1x = 0

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

Add '-35' to each side of the equation.
35 + -35 + -1x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -1x = 0 + -35
-1x = 0 + -35

Combine like terms: 0 + -35 = -35
-1x = -35

Divide each side by '-1'.
x = 35

Simplifying
x = 35
Solution
x = {1, 35}