13x^2+21x+8=0

Solution for 13x^2+21x+8=0 equation:

Simplifying
13x2 + 21x + 8 = 0

Reorder the terms:
8 + 21x + 13x2 = 0

Solving
8 + 21x + 13x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + x)(8 + 13x) = 0

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 '(8 + 13x)' equal to zero and attempt to solve:

Simplifying
8 + 13x = 0

Solving
8 + 13x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 13x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 13x = 0 + -8
13x = 0 + -8

Combine like terms: 0 + -8 = -8
13x = -8

Divide each side by '13'.
x = -0.6153846154

Simplifying
x = -0.6153846154
Solution
x = {-1, -0.6153846154}