2x^2+13x-444=0

Solution for 2x^2+13x-444=0 equation:

Simplifying
2x2 + 13x + -444 = 0

Reorder the terms:
-444 + 13x + 2x2 = 0

Solving
-444 + 13x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-37 + -2x)(12 + -1x) = 0

Subproblem 1
Set the factor '(-37 + -2x)' equal to zero and attempt to solve:

Simplifying
-37 + -2x = 0

Solving
-37 + -2x = 0

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

Add '37' to each side of the equation.
-37 + 37 + -2x = 0 + 37

Combine like terms: -37 + 37 = 0
0 + -2x = 0 + 37
-2x = 0 + 37

Combine like terms: 0 + 37 = 37
-2x = 37

Divide each side by '-2'.
x = -18.5

Simplifying
x = -18.5
Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {-18.5, 12}