35k^2+43=1-79k

Solution for 35k^2+43=1-79k equation:

Simplifying
35k2 + 43 = 1 + -79k

Reorder the terms:
43 + 35k2 = 1 + -79k

Solving
43 + 35k2 = 1 + -79k

Solving for variable 'k'.

Reorder the terms:
43 + -1 + 79k + 35k2 = 1 + -79k + -1 + 79k

Combine like terms: 43 + -1 = 42
42 + 79k + 35k2 = 1 + -79k + -1 + 79k

Reorder the terms:
42 + 79k + 35k2 = 1 + -1 + -79k + 79k

Combine like terms: 1 + -1 = 0
42 + 79k + 35k2 = 0 + -79k + 79k
42 + 79k + 35k2 = -79k + 79k

Combine like terms: -79k + 79k = 0
42 + 79k + 35k2 = 0

Factor a trinomial.
(7 + 5k)(6 + 7k) = 0

Subproblem 1
Set the factor '(7 + 5k)' equal to zero and attempt to solve:

Simplifying
7 + 5k = 0

Solving
7 + 5k = 0

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

Add '-7' to each side of the equation.
7 + -7 + 5k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5k = 0 + -7
5k = 0 + -7

Combine like terms: 0 + -7 = -7
5k = -7

Divide each side by '5'.
k = -1.4

Simplifying
k = -1.4
Subproblem 2
Set the factor '(6 + 7k)' equal to zero and attempt to solve:

Simplifying
6 + 7k = 0

Solving
6 + 7k = 0

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

Add '-6' to each side of the equation.
6 + -6 + 7k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7k = 0 + -6
7k = 0 + -6

Combine like terms: 0 + -6 = -6
7k = -6

Divide each side by '7'.
k = -0.8571428571

Simplifying
k = -0.8571428571
Solution
k = {-1.4, -0.8571428571}