x^2-15x+45=10495

Solution for x^2-15x+45=10495 equation:

Simplifying
x2 + -15x + 45 = 10495

Reorder the terms:
45 + -15x + x2 = 10495

Solving
45 + -15x + x2 = 10495

Solving for variable 'x'.

Reorder the terms:
45 + -10495 + -15x + x2 = 10495 + -10495

Combine like terms: 45 + -10495 = -10450
-10450 + -15x + x2 = 10495 + -10495

Combine like terms: 10495 + -10495 = 0
-10450 + -15x + x2 = 0

Factor a trinomial.
(-95 + -1x)(110 + -1x) = 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 '(110 + -1x)' equal to zero and attempt to solve:

Simplifying
110 + -1x = 0

Solving
110 + -1x = 0

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

Add '-110' to each side of the equation.
110 + -110 + -1x = 0 + -110

Combine like terms: 110 + -110 = 0
0 + -1x = 0 + -110
-1x = 0 + -110

Combine like terms: 0 + -110 = -110
-1x = -110

Divide each side by '-1'.
x = 110

Simplifying
x = 110
Solution
x = {-95, 110}