x^2-15x+45=7645

Solution for x^2-15x+45=7645 equation:

Simplifying
x2 + -15x + 45 = 7645

Reorder the terms:
45 + -15x + x2 = 7645

Solving
45 + -15x + x2 = 7645

Solving for variable 'x'.

Reorder the terms:
45 + -7645 + -15x + x2 = 7645 + -7645

Combine like terms: 45 + -7645 = -7600
-7600 + -15x + x2 = 7645 + -7645

Combine like terms: 7645 + -7645 = 0
-7600 + -15x + x2 = 0

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

Subproblem 1
Set the factor '(-80 + -1x)' equal to zero and attempt to solve:

Simplifying
-80 + -1x = 0

Solving
-80 + -1x = 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 + -1x = 0 + 80

Combine like terms: -80 + 80 = 0
0 + -1x = 0 + 80
-1x = 0 + 80

Combine like terms: 0 + 80 = 80
-1x = 80

Divide each side by '-1'.
x = -80

Simplifying
x = -80
Subproblem 2
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
Solution
x = {-80, 95}