23x^2-42x-8=0

Solution for 23x^2-42x-8=0 equation:

Simplifying
23x2 + -42x + -8 = 0

Reorder the terms:
-8 + -42x + 23x2 = 0

Solving
-8 + -42x + 23x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -23x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-4 + -23x)' equal to zero and attempt to solve:

Simplifying
-4 + -23x = 0

Solving
-4 + -23x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -23x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -23x = 0 + 4
-23x = 0 + 4

Combine like terms: 0 + 4 = 4
-23x = 4

Divide each side by '-23'.
x = -0.1739130435

Simplifying
x = -0.1739130435
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-0.1739130435, 2}