8x^2+71x+138=0

Solution for 8x^2+71x+138=0 equation:

Simplifying
8x2 + 71x + 138 = 0

Reorder the terms:
138 + 71x + 8x2 = 0

Solving
138 + 71x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + x)(23 + 8x) = 0

Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 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 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(23 + 8x)' equal to zero and attempt to solve:

Simplifying
23 + 8x = 0

Solving
23 + 8x = 0

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

Add '-23' to each side of the equation.
23 + -23 + 8x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 8x = 0 + -23
8x = 0 + -23

Combine like terms: 0 + -23 = -23
8x = -23

Divide each side by '8'.
x = -2.875

Simplifying
x = -2.875
Solution
x = {-6, -2.875}