x^2-30x+225=441

Solution for x^2-30x+225=441 equation:

Simplifying
x2 + -30x + 225 = 441

Reorder the terms:
225 + -30x + x2 = 441

Solving
225 + -30x + x2 = 441

Solving for variable 'x'.

Reorder the terms:
225 + -441 + -30x + x2 = 441 + -441

Combine like terms: 225 + -441 = -216
-216 + -30x + x2 = 441 + -441

Combine like terms: 441 + -441 = 0
-216 + -30x + x2 = 0

Factor a trinomial.
(-6 + -1x)(36 + -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 '(36 + -1x)' equal to zero and attempt to solve:

Simplifying
36 + -1x = 0

Solving
36 + -1x = 0

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

Add '-36' to each side of the equation.
36 + -36 + -1x = 0 + -36

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

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

Divide each side by '-1'.
x = 36

Simplifying
x = 36
Solution
x = {-6, 36}