2x^2+27x-234=0

Solution for 2x^2+27x-234=0 equation:

Simplifying
2x2 + 27x + -234 = 0

Reorder the terms:
-234 + 27x + 2x2 = 0

Solving
-234 + 27x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-39 + -2x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-39 + -2x)' equal to zero and attempt to solve:

Simplifying
-39 + -2x = 0

Solving
-39 + -2x = 0

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

Add '39' to each side of the equation.
-39 + 39 + -2x = 0 + 39

Combine like terms: -39 + 39 = 0
0 + -2x = 0 + 39
-2x = 0 + 39

Combine like terms: 0 + 39 = 39
-2x = 39

Divide each side by '-2'.
x = -19.5

Simplifying
x = -19.5
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 = {-19.5, 6}