5x^2+16x-448=0

Solution for 5x^2+16x-448=0 equation:

Simplifying
5x2 + 16x + -448 = 0

Reorder the terms:
-448 + 16x + 5x2 = 0

Solving
-448 + 16x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-56 + -5x)(8 + -1x) = 0

Subproblem 1
Set the factor '(-56 + -5x)' equal to zero and attempt to solve:

Simplifying
-56 + -5x = 0

Solving
-56 + -5x = 0

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

Add '56' to each side of the equation.
-56 + 56 + -5x = 0 + 56

Combine like terms: -56 + 56 = 0
0 + -5x = 0 + 56
-5x = 0 + 56

Combine like terms: 0 + 56 = 56
-5x = 56

Divide each side by '-5'.
x = -11.2

Simplifying
x = -11.2
Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 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 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-11.2, 8}