0=x^2-85x+1764

Solution for 0=x^2-85x+1764 equation:

Simplifying
0 = x2 + -85x + 1764

Reorder the terms:
0 = 1764 + -85x + x2

Solving
0 = 1764 + -85x + x2

Solving for variable 'x'.

Combine like terms: 0 + -1764 = -1764
-1764 + 85x + -1x2 = 1764 + -85x + x2 + -1764 + 85x + -1x2

Reorder the terms:
-1764 + 85x + -1x2 = 1764 + -1764 + -85x + 85x + x2 + -1x2

Combine like terms: 1764 + -1764 = 0
-1764 + 85x + -1x2 = 0 + -85x + 85x + x2 + -1x2
-1764 + 85x + -1x2 = -85x + 85x + x2 + -1x2

Combine like terms: -85x + 85x = 0
-1764 + 85x + -1x2 = 0 + x2 + -1x2
-1764 + 85x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1764 + 85x + -1x2 = 0

Factor a trinomial.
(-49 + x)(36 + -1x) = 0

Subproblem 1
Set the factor '(-49 + x)' equal to zero and attempt to solve:

Simplifying
-49 + x = 0

Solving
-49 + x = 0

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

Add '49' to each side of the equation.
-49 + 49 + x = 0 + 49

Combine like terms: -49 + 49 = 0
0 + x = 0 + 49
x = 0 + 49

Combine like terms: 0 + 49 = 49
x = 49

Simplifying
x = 49
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 = {49, 36}