15x^2+14x-13920=0

Solution for 15x^2+14x-13920=0 equation:

Simplifying
15x2 + 14x + -13920 = 0

Reorder the terms:
-13920 + 14x + 15x2 = 0

Solving
-13920 + 14x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-464 + -15x)(30 + -1x) = 0

Subproblem 1
Set the factor '(-464 + -15x)' equal to zero and attempt to solve:

Simplifying
-464 + -15x = 0

Solving
-464 + -15x = 0

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

Add '464' to each side of the equation.
-464 + 464 + -15x = 0 + 464

Combine like terms: -464 + 464 = 0
0 + -15x = 0 + 464
-15x = 0 + 464

Combine like terms: 0 + 464 = 464
-15x = 464

Divide each side by '-15'.
x = -30.93333333

Simplifying
x = -30.93333333
Subproblem 2
Set the factor '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30
Solution
x = {-30.93333333, 30}