2x^2-13x-1=-16

Solution for 2x^2-13x-1=-16 equation:

Simplifying
2x2 + -13x + -1 = -16

Reorder the terms:
-1 + -13x + 2x2 = -16

Solving
-1 + -13x + 2x2 = -16

Solving for variable 'x'.

Reorder the terms:
-1 + 16 + -13x + 2x2 = -16 + 16

Combine like terms: -1 + 16 = 15
15 + -13x + 2x2 = -16 + 16

Combine like terms: -16 + 16 = 0
15 + -13x + 2x2 = 0

Factor a trinomial.
(3 + -2x)(5 + -1x) = 0

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

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

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

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

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {1.5, 5}