15x^2+98x+48=0

Solution for 15x^2+98x+48=0 equation:

Simplifying
15x2 + 98x + 48 = 0

Reorder the terms:
48 + 98x + 15x2 = 0

Solving
48 + 98x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + x)(8 + 15x) = 0

Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(8 + 15x)' equal to zero and attempt to solve:

Simplifying
8 + 15x = 0

Solving
8 + 15x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 15x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 15x = 0 + -8
15x = 0 + -8

Combine like terms: 0 + -8 = -8
15x = -8

Divide each side by '15'.
x = -0.5333333333

Simplifying
x = -0.5333333333
Solution
x = {-6, -0.5333333333}