3k^2+5k-3500=0

Solution for 3k^2+5k-3500=0 equation:

Simplifying
3k2 + 5k + -3500 = 0

Reorder the terms:
-3500 + 5k + 3k2 = 0

Solving
-3500 + 5k + 3k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-35 + -1k)(100 + -3k) = 0

Subproblem 1
Set the factor '(-35 + -1k)' equal to zero and attempt to solve:

Simplifying
-35 + -1k = 0

Solving
-35 + -1k = 0

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

Add '35' to each side of the equation.
-35 + 35 + -1k = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -1k = 0 + 35
-1k = 0 + 35

Combine like terms: 0 + 35 = 35
-1k = 35

Divide each side by '-1'.
k = -35

Simplifying
k = -35
Subproblem 2
Set the factor '(100 + -3k)' equal to zero and attempt to solve:

Simplifying
100 + -3k = 0

Solving
100 + -3k = 0

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

Add '-100' to each side of the equation.
100 + -100 + -3k = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -3k = 0 + -100
-3k = 0 + -100

Combine like terms: 0 + -100 = -100
-3k = -100

Divide each side by '-3'.
k = 33.33333333

Simplifying
k = 33.33333333
Solution
k = {-35, 33.33333333}