x^2+68x-444=0

Solution for x^2+68x-444=0 equation:

Simplifying
x2 + 68x + -444 = 0

Reorder the terms:
-444 + 68x + x2 = 0

Solving
-444 + 68x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-74 + -1x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-74 + -1x)' equal to zero and attempt to solve:

Simplifying
-74 + -1x = 0

Solving
-74 + -1x = 0

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

Add '74' to each side of the equation.
-74 + 74 + -1x = 0 + 74

Combine like terms: -74 + 74 = 0
0 + -1x = 0 + 74
-1x = 0 + 74

Combine like terms: 0 + 74 = 74
-1x = 74

Divide each side by '-1'.
x = -74

Simplifying
x = -74
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-74, 6}