0=x^2-120x+3276

Solution for 0=x^2-120x+3276 equation:

Simplifying
0 = x2 + -120x + 3276

Reorder the terms:
0 = 3276 + -120x + x2

Solving
0 = 3276 + -120x + x2

Solving for variable 'x'.

Combine like terms: 0 + -3276 = -3276
-3276 + 120x + -1x2 = 3276 + -120x + x2 + -3276 + 120x + -1x2

Reorder the terms:
-3276 + 120x + -1x2 = 3276 + -3276 + -120x + 120x + x2 + -1x2

Combine like terms: 3276 + -3276 = 0
-3276 + 120x + -1x2 = 0 + -120x + 120x + x2 + -1x2
-3276 + 120x + -1x2 = -120x + 120x + x2 + -1x2

Combine like terms: -120x + 120x = 0
-3276 + 120x + -1x2 = 0 + x2 + -1x2
-3276 + 120x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3276 + 120x + -1x2 = 0

Factor a trinomial.
(-78 + x)(42 + -1x) = 0

Subproblem 1
Set the factor '(-78 + x)' equal to zero and attempt to solve:

Simplifying
-78 + x = 0

Solving
-78 + x = 0

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

Add '78' to each side of the equation.
-78 + 78 + x = 0 + 78

Combine like terms: -78 + 78 = 0
0 + x = 0 + 78
x = 0 + 78

Combine like terms: 0 + 78 = 78
x = 78

Simplifying
x = 78
Subproblem 2
Set the factor '(42 + -1x)' equal to zero and attempt to solve:

Simplifying
42 + -1x = 0

Solving
42 + -1x = 0

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

Add '-42' to each side of the equation.
42 + -42 + -1x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 0 + -42
-1x = 0 + -42

Combine like terms: 0 + -42 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42
Solution
x = {78, 42}