15c^2+31c-24=0

Solution for 15c^2+31c-24=0 equation:

Simplifying
15c2 + 31c + -24 = 0

Reorder the terms:
-24 + 31c + 15c2 = 0

Solving
-24 + 31c + 15c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-8 + -3c)(3 + -5c) = 0

Subproblem 1
Set the factor '(-8 + -3c)' equal to zero and attempt to solve:

Simplifying
-8 + -3c = 0

Solving
-8 + -3c = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3c = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3c = 0 + 8
-3c = 0 + 8

Combine like terms: 0 + 8 = 8
-3c = 8

Divide each side by '-3'.
c = -2.666666667

Simplifying
c = -2.666666667
Subproblem 2
Set the factor '(3 + -5c)' equal to zero and attempt to solve:

Simplifying
3 + -5c = 0

Solving
3 + -5c = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5c = 0 + -3
-5c = 0 + -3

Combine like terms: 0 + -3 = -3
-5c = -3

Divide each side by '-5'.
c = 0.6

Simplifying
c = 0.6
Solution
c = {-2.666666667, 0.6}