6k^2+17kp-14p^2=

Solution for 6k^2+17kp-14p^2= equation:

Simplifying
6k2 + 17kp + -14p2 = 0

Reorder the terms:
17kp + 6k2 + -14p2 = 0

Solving
17kp + 6k2 + -14p2 = 0

Solving for variable 'k'.

Factor a trinomial.
(3k + -2p)(2k + 7p) = 0

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

Simplifying
3k + -2p = 0

Solving
3k + -2p = 0

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

Add '2p' to each side of the equation.
3k + -2p + 2p = 0 + 2p

Combine like terms: -2p + 2p = 0
3k + 0 = 0 + 2p
3k = 0 + 2p
Remove the zero:
3k = 2p

Divide each side by '3'.
k = 0.6666666667p

Simplifying
k = 0.6666666667p
Subproblem 2
Set the factor '(2k + 7p)' equal to zero and attempt to solve:

Simplifying
2k + 7p = 0

Solving
2k + 7p = 0

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

Add '-7p' to each side of the equation.
2k + 7p + -7p = 0 + -7p

Combine like terms: 7p + -7p = 0
2k + 0 = 0 + -7p
2k = 0 + -7p
Remove the zero:
2k = -7p

Divide each side by '2'.
k = -3.5p

Simplifying
k = -3.5p
Solution
k = {0.6666666667p, -3.5p}