-x^2+720x-14000=0

Solution for -x^2+720x-14000=0 equation:

Simplifying
-1x2 + 720x + -14000 = 0

Reorder the terms:
-14000 + 720x + -1x2 = 0

Solving
-14000 + 720x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-700 + x)(20 + -1x) = 0

Subproblem 1
Set the factor '(-700 + x)' equal to zero and attempt to solve:

Simplifying
-700 + x = 0

Solving
-700 + x = 0

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

Add '700' to each side of the equation.
-700 + 700 + x = 0 + 700

Combine like terms: -700 + 700 = 0
0 + x = 0 + 700
x = 0 + 700

Combine like terms: 0 + 700 = 700
x = 700

Simplifying
x = 700
Subproblem 2
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
Solution
x = {700, 20}