5x^2+48x-116=0

Solution for 5x^2+48x-116=0 equation:

Simplifying
5x2 + 48x + -116 = 0

Reorder the terms:
-116 + 48x + 5x2 = 0

Solving
-116 + 48x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-58 + -5x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-58 + -5x)' equal to zero and attempt to solve:

Simplifying
-58 + -5x = 0

Solving
-58 + -5x = 0

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

Add '58' to each side of the equation.
-58 + 58 + -5x = 0 + 58

Combine like terms: -58 + 58 = 0
0 + -5x = 0 + 58
-5x = 0 + 58

Combine like terms: 0 + 58 = 58
-5x = 58

Divide each side by '-5'.
x = -11.6

Simplifying
x = -11.6
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-11.6, 2}