x^2-30x+69=13

Solution for x^2-30x+69=13 equation:

Simplifying
x2 + -30x + 69 = 13

Reorder the terms:
69 + -30x + x2 = 13

Solving
69 + -30x + x2 = 13

Solving for variable 'x'.

Reorder the terms:
69 + -13 + -30x + x2 = 13 + -13

Combine like terms: 69 + -13 = 56
56 + -30x + x2 = 13 + -13

Combine like terms: 13 + -13 = 0
56 + -30x + x2 = 0

Factor a trinomial.
(2 + -1x)(28 + -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 '(28 + -1x)' equal to zero and attempt to solve:

Simplifying
28 + -1x = 0

Solving
28 + -1x = 0

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

Add '-28' to each side of the equation.
28 + -28 + -1x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -1x = 0 + -28
-1x = 0 + -28

Combine like terms: 0 + -28 = -28
-1x = -28

Divide each side by '-1'.
x = 28

Simplifying
x = 28
Solution
x = {2, 28}