13x^2+11x-24=0

Solution for 13x^2+11x-24=0 equation:

Simplifying
13x2 + 11x + -24 = 0

Reorder the terms:
-24 + 11x + 13x2 = 0

Solving
-24 + 11x + 13x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-24 + -13x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-24 + -13x)' equal to zero and attempt to solve:

Simplifying
-24 + -13x = 0

Solving
-24 + -13x = 0

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

Add '24' to each side of the equation.
-24 + 24 + -13x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -13x = 0 + 24
-13x = 0 + 24

Combine like terms: 0 + 24 = 24
-13x = 24

Divide each side by '-13'.
x = -1.846153846

Simplifying
x = -1.846153846
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {-1.846153846, 1}