-13x^2-16x-3=0

Solution for -13x^2-16x-3=0 equation:

Simplifying
-13x2 + -16x + -3 = 0

Reorder the terms:
-3 + -16x + -13x2 = 0

Solving
-3 + -16x + -13x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 16x + 13x2) = 0

Factor a trinomial.
-1((1 + x)(3 + 13x)) = 0

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

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Subproblem 2
Set the factor '(3 + 13x)' equal to zero and attempt to solve:

Simplifying
3 + 13x = 0

Solving
3 + 13x = 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 + 13x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 13x = 0 + -3
13x = 0 + -3

Combine like terms: 0 + -3 = -3
13x = -3

Divide each side by '13'.
x = -0.2307692308

Simplifying
x = -0.2307692308
Solution
x = {-1, -0.2307692308}