-4k^2+37k-75=0

Solution for -4k^2+37k-75=0 equation:

Simplifying
-4k2 + 37k + -75 = 0

Reorder the terms:
-75 + 37k + -4k2 = 0

Solving
-75 + 37k + -4k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-25 + 4k)(3 + -1k) = 0

Subproblem 1
Set the factor '(-25 + 4k)' equal to zero and attempt to solve:

Simplifying
-25 + 4k = 0

Solving
-25 + 4k = 0

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

Add '25' to each side of the equation.
-25 + 25 + 4k = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 4k = 0 + 25
4k = 0 + 25

Combine like terms: 0 + 25 = 25
4k = 25

Divide each side by '4'.
k = 6.25

Simplifying
k = 6.25
Subproblem 2
Set the factor '(3 + -1k)' equal to zero and attempt to solve:

Simplifying
3 + -1k = 0

Solving
3 + -1k = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1k = 0 + -3
-1k = 0 + -3

Combine like terms: 0 + -3 = -3
-1k = -3

Divide each side by '-1'.
k = 3

Simplifying
k = 3
Solution
k = {6.25, 3}