What is 13x + 4 and how do I solve it

Simplifying

12x2 + - 13x + - 4 = 0

Reorder the terms:

-4 + - 13x + 12x2 = 0

Solving

-4 + - 13x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-1 + - 4x) (4 + - 3x) = 0

Subproblem 1

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

Simplifying

-1 + - 4x = 0

Solving

-1 + - 4x = 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 + - 4x = 0 + 1

Combine like terms: - 1 + 1 = 0

0 + - 4x = 0 + 1

-4x = 0 + 1

Combine like terms: 0 + 1 = 1

-4x = 1

Divide each side by '-4'.

x = - 0.25

Simplifying

x = - 0.25

Subproblem 2

Set the factor ' (4 + - 3x) ' equal to zero and attempt to solve:

Simplifying

4 + - 3x = 0

Solving

4 + - 3x = 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 + - 3x = 0 + - 4

Combine like terms: 4 + - 4 = 0

0 + - 3x = 0 + - 4

-3x = 0 + - 4

Combine like terms: 0 + - 4 = - 4

-3x = - 4

Divide each side by '-3'.

x = 1.333333333

Simplifying

x = 1.333333333

Solution

x = {-0.25, 1.333333333