x^2-56x+615=0

Solution for x^2-56x+615=0 equation:

Simplifying
x2 + -56x + 615 = 0

Reorder the terms:
615 + -56x + x2 = 0

Solving
615 + -56x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(15 + -1x)(41 + -1x) = 0

Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Subproblem 2
Set the factor '(41 + -1x)' equal to zero and attempt to solve:

Simplifying
41 + -1x = 0

Solving
41 + -1x = 0

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

Add '-41' to each side of the equation.
41 + -41 + -1x = 0 + -41

Combine like terms: 41 + -41 = 0
0 + -1x = 0 + -41
-1x = 0 + -41

Combine like terms: 0 + -41 = -41
-1x = -41

Divide each side by '-1'.
x = 41

Simplifying
x = 41
Solution
x = {15, 41}