12x^2+5x-123=0

Solution for 12x^2+5x-123=0 equation:

Simplifying
12x2 + 5x + -123 = 0

Reorder the terms:
-123 + 5x + 12x2 = 0

Solving
-123 + 5x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-41 + -12x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-41 + -12x)' equal to zero and attempt to solve:

Simplifying
-41 + -12x = 0

Solving
-41 + -12x = 0

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

Add '41' to each side of the equation.
-41 + 41 + -12x = 0 + 41

Combine like terms: -41 + 41 = 0
0 + -12x = 0 + 41
-12x = 0 + 41

Combine like terms: 0 + 41 = 41
-12x = 41

Divide each side by '-12'.
x = -3.416666667

Simplifying
x = -3.416666667
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-3.416666667, 3}