X^2-40X-3200=0

Solution for X^2-40X-3200=0 equation:

Simplifying
X2 + -40X + -3200 = 0

Reorder the terms:
-3200 + -40X + X2 = 0

Solving
-3200 + -40X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-40 + -1X)(80 + -1X) = 0

Subproblem 1
Set the factor '(-40 + -1X)' equal to zero and attempt to solve:

Simplifying
-40 + -1X = 0

Solving
-40 + -1X = 0

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

Add '40' to each side of the equation.
-40 + 40 + -1X = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -1X = 0 + 40
-1X = 0 + 40

Combine like terms: 0 + 40 = 40
-1X = 40

Divide each side by '-1'.
X = -40

Simplifying
X = -40
Subproblem 2
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
Solution
X = {-40, 80}