-5k^2+70=-11k

Solution for -5k^2+70=-11k equation:

Simplifying
-5k2 + 70 = -11k

Reorder the terms:
70 + -5k2 = -11k

Solving
70 + -5k2 = -11k

Solving for variable 'k'.

Reorder the terms:
70 + 11k + -5k2 = -11k + 11k

Combine like terms: -11k + 11k = 0
70 + 11k + -5k2 = 0

Factor a trinomial.
(5 + -1k)(14 + 5k) = 0

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

Simplifying
5 + -1k = 0

Solving
5 + -1k = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1k = 0 + -5
-1k = 0 + -5

Combine like terms: 0 + -5 = -5
-1k = -5

Divide each side by '-1'.
k = 5

Simplifying
k = 5
Subproblem 2
Set the factor '(14 + 5k)' equal to zero and attempt to solve:

Simplifying
14 + 5k = 0

Solving
14 + 5k = 0

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

Add '-14' to each side of the equation.
14 + -14 + 5k = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 5k = 0 + -14
5k = 0 + -14

Combine like terms: 0 + -14 = -14
5k = -14

Divide each side by '5'.
k = -2.8

Simplifying
k = -2.8
Solution
k = {5, -2.8}