7655=x^2-15x+55

Solution for 7655=x^2-15x+55 equation:

Simplifying
7655 = x2 + -15x + 55

Reorder the terms:
7655 = 55 + -15x + x2

Solving
7655 = 55 + -15x + x2

Solving for variable 'x'.

Combine like terms: 7655 + -55 = 7600
7600 + 15x + -1x2 = 55 + -15x + x2 + -55 + 15x + -1x2

Reorder the terms:
7600 + 15x + -1x2 = 55 + -55 + -15x + 15x + x2 + -1x2

Combine like terms: 55 + -55 = 0
7600 + 15x + -1x2 = 0 + -15x + 15x + x2 + -1x2
7600 + 15x + -1x2 = -15x + 15x + x2 + -1x2

Combine like terms: -15x + 15x = 0
7600 + 15x + -1x2 = 0 + x2 + -1x2
7600 + 15x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
7600 + 15x + -1x2 = 0

Factor a trinomial.
(95 + -1x)(80 + x) = 0

Subproblem 1
Set the factor '(95 + -1x)' equal to zero and attempt to solve:

Simplifying
95 + -1x = 0

Solving
95 + -1x = 0

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

Add '-95' to each side of the equation.
95 + -95 + -1x = 0 + -95

Combine like terms: 95 + -95 = 0
0 + -1x = 0 + -95
-1x = 0 + -95

Combine like terms: 0 + -95 = -95
-1x = -95

Divide each side by '-1'.
x = 95

Simplifying
x = 95
Subproblem 2
Set the factor '(80 + x)' equal to zero and attempt to solve:

Simplifying
80 + x = 0

Solving
80 + x = 0

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

Add '-80' to each side of the equation.
80 + -80 + x = 0 + -80

Combine like terms: 80 + -80 = 0
0 + x = 0 + -80
x = 0 + -80

Combine like terms: 0 + -80 = -80
x = -80

Simplifying
x = -80
Solution
x = {95, -80}