44x+2880=x^2

Solution for 44x+2880=x^2 equation:

Simplifying
44x + 2880 = x2

Reorder the terms:
2880 + 44x = x2

Solving
2880 + 44x = x2

Solving for variable 'x'.

Combine like terms: x2 + -1x2 = 0
2880 + 44x + -1x2 = 0

Factor a trinomial.
(80 + -1x)(36 + x) = 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 '(36 + x)' equal to zero and attempt to solve:

Simplifying
36 + x = 0

Solving
36 + x = 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 + x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + x = 0 + -36
x = 0 + -36

Combine like terms: 0 + -36 = -36
x = -36

Simplifying
x = -36
Solution
x = {80, -36}