0=x^2-18x+56

Solution for 0=x^2-18x+56 equation:

Simplifying
0 = x2 + -18x + 56

Reorder the terms:
0 = 56 + -18x + x2

Solving
0 = 56 + -18x + x2

Solving for variable 'x'.

Combine like terms: 0 + -56 = -56
-56 + 18x + -1x2 = 56 + -18x + x2 + -56 + 18x + -1x2

Reorder the terms:
-56 + 18x + -1x2 = 56 + -56 + -18x + 18x + x2 + -1x2

Combine like terms: 56 + -56 = 0
-56 + 18x + -1x2 = 0 + -18x + 18x + x2 + -1x2
-56 + 18x + -1x2 = -18x + 18x + x2 + -1x2

Combine like terms: -18x + 18x = 0
-56 + 18x + -1x2 = 0 + x2 + -1x2
-56 + 18x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-56 + 18x + -1x2 = 0

Factor a trinomial.
(-14 + x)(4 + -1x) = 0

Subproblem 1
Set the factor '(-14 + x)' equal to zero and attempt to solve:

Simplifying
-14 + x = 0

Solving
-14 + x = 0

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

Add '14' to each side of the equation.
-14 + 14 + x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + x = 0 + 14
x = 0 + 14

Combine like terms: 0 + 14 = 14
x = 14

Simplifying
x = 14
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {14, 4}