10n^2+49n-33=0

Solution for 10n^2+49n-33=0 equation:

Simplifying
10n2 + 49n + -33 = 0

Reorder the terms:
-33 + 49n + 10n2 = 0

Solving
-33 + 49n + 10n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-11 + -2n)(3 + -5n) = 0

Subproblem 1
Set the factor '(-11 + -2n)' equal to zero and attempt to solve:

Simplifying
-11 + -2n = 0

Solving
-11 + -2n = 0

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

Add '11' to each side of the equation.
-11 + 11 + -2n = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -2n = 0 + 11
-2n = 0 + 11

Combine like terms: 0 + 11 = 11
-2n = 11

Divide each side by '-2'.
n = -5.5

Simplifying
n = -5.5
Subproblem 2
Set the factor '(3 + -5n)' equal to zero and attempt to solve:

Simplifying
3 + -5n = 0

Solving
3 + -5n = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5n = 0 + -3
-5n = 0 + -3

Combine like terms: 0 + -3 = -3
-5n = -3

Divide each side by '-5'.
n = 0.6

Simplifying
n = 0.6
Solution
n = {-5.5, 0.6}