3x^2-16x-11=1

Solution for 3x^2-16x-11=1 equation:

Simplifying
3x2 + -16x + -11 = 1

Reorder the terms:
-11 + -16x + 3x2 = 1

Solving
-11 + -16x + 3x2 = 1

Solving for variable 'x'.

Reorder the terms:
-11 + -1 + -16x + 3x2 = 1 + -1

Combine like terms: -11 + -1 = -12
-12 + -16x + 3x2 = 1 + -1

Combine like terms: 1 + -1 = 0
-12 + -16x + 3x2 = 0

Factor a trinomial.
(-2 + -3x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve:

Simplifying
-2 + -3x = 0

Solving
-2 + -3x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = 0 + 2
-3x = 0 + 2

Combine like terms: 0 + 2 = 2
-3x = 2

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
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 = {-0.6666666667, 6}