3x^2+16x-204=0

Solution for 3x^2+16x-204=0 equation:

Simplifying
3x2 + 16x + -204 = 0

Reorder the terms:
-204 + 16x + 3x2 = 0

Solving
-204 + 16x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-34 + -3x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-34 + -3x)' equal to zero and attempt to solve:

Simplifying
-34 + -3x = 0

Solving
-34 + -3x = 0

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

Add '34' to each side of the equation.
-34 + 34 + -3x = 0 + 34

Combine like terms: -34 + 34 = 0
0 + -3x = 0 + 34
-3x = 0 + 34

Combine like terms: 0 + 34 = 34
-3x = 34

Divide each side by '-3'.
x = -11.33333333

Simplifying
x = -11.33333333
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 = {-11.33333333, 6}