29x^2+48x-117=0

Solution for 29x^2+48x-117=0 equation:

Simplifying
29x2 + 48x + -117 = 0

Reorder the terms:
-117 + 48x + 29x2 = 0

Solving
-117 + 48x + 29x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -1x)(39 + -29x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(39 + -29x)' equal to zero and attempt to solve:

Simplifying
39 + -29x = 0

Solving
39 + -29x = 0

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

Add '-39' to each side of the equation.
39 + -39 + -29x = 0 + -39

Combine like terms: 39 + -39 = 0
0 + -29x = 0 + -39
-29x = 0 + -39

Combine like terms: 0 + -39 = -39
-29x = -39

Divide each side by '-29'.
x = 1.344827586

Simplifying
x = 1.344827586
Solution
x = {-3, 1.344827586}