0=x^2+44x-1280

Solution for 0=x^2+44x-1280 equation:

Simplifying
0 = x2 + 44x + -1280

Reorder the terms:
0 = -1280 + 44x + x2

Solving
0 = -1280 + 44x + x2

Solving for variable 'x'.

Combine like terms: 0 + 1280 = 1280
1280 + -44x + -1x2 = -1280 + 44x + x2 + 1280 + -44x + -1x2

Reorder the terms:
1280 + -44x + -1x2 = -1280 + 1280 + 44x + -44x + x2 + -1x2

Combine like terms: -1280 + 1280 = 0
1280 + -44x + -1x2 = 0 + 44x + -44x + x2 + -1x2
1280 + -44x + -1x2 = 44x + -44x + x2 + -1x2

Combine like terms: 44x + -44x = 0
1280 + -44x + -1x2 = 0 + x2 + -1x2
1280 + -44x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1280 + -44x + -1x2 = 0

Factor a trinomial.
(20 + -1x)(64 + x) = 0

Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Subproblem 2
Set the factor '(64 + x)' equal to zero and attempt to solve:

Simplifying
64 + x = 0

Solving
64 + x = 0

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

Add '-64' to each side of the equation.
64 + -64 + x = 0 + -64

Combine like terms: 64 + -64 = 0
0 + x = 0 + -64
x = 0 + -64

Combine like terms: 0 + -64 = -64
x = -64

Simplifying
x = -64
Solution
x = {20, -64}