24x^2+11x-5=-6

Solution for 24x^2+11x-5=-6 equation:

Simplifying
24x2 + 11x + -5 = -6

Reorder the terms:
-5 + 11x + 24x2 = -6

Solving
-5 + 11x + 24x2 = -6

Solving for variable 'x'.

Reorder the terms:
-5 + 6 + 11x + 24x2 = -6 + 6

Combine like terms: -5 + 6 = 1
1 + 11x + 24x2 = -6 + 6

Combine like terms: -6 + 6 = 0
1 + 11x + 24x2 = 0

Factor a trinomial.
(1 + 3x)(1 + 8x) = 0

Subproblem 1
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

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

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

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

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Subproblem 2
Set the factor '(1 + 8x)' equal to zero and attempt to solve:

Simplifying
1 + 8x = 0

Solving
1 + 8x = 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 + 8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 0 + -1
8x = 0 + -1

Combine like terms: 0 + -1 = -1
8x = -1

Divide each side by '8'.
x = -0.125

Simplifying
x = -0.125
Solution
x = {-0.3333333333, -0.125}