11445=x^2+25x+45

Solution for 11445=x^2+25x+45 equation:

Simplifying
11445 = x2 + 25x + 45

Reorder the terms:
11445 = 45 + 25x + x2

Solving
11445 = 45 + 25x + x2

Solving for variable 'x'.

Combine like terms: 11445 + -45 = 11400
11400 + -25x + -1x2 = 45 + 25x + x2 + -45 + -25x + -1x2

Reorder the terms:
11400 + -25x + -1x2 = 45 + -45 + 25x + -25x + x2 + -1x2

Combine like terms: 45 + -45 = 0
11400 + -25x + -1x2 = 0 + 25x + -25x + x2 + -1x2
11400 + -25x + -1x2 = 25x + -25x + x2 + -1x2

Combine like terms: 25x + -25x = 0
11400 + -25x + -1x2 = 0 + x2 + -1x2
11400 + -25x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
11400 + -25x + -1x2 = 0

Factor a trinomial.
(95 + -1x)(120 + 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 '(120 + x)' equal to zero and attempt to solve:

Simplifying
120 + x = 0

Solving
120 + x = 0

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

Add '-120' to each side of the equation.
120 + -120 + x = 0 + -120

Combine like terms: 120 + -120 = 0
0 + x = 0 + -120
x = 0 + -120

Combine like terms: 0 + -120 = -120
x = -120

Simplifying
x = -120
Solution
x = {95, -120}