7k^2-26k=-15

Solution for 7k^2-26k=-15 equation:

Simplifying
7k2 + -26k = -15

Reorder the terms:
-26k + 7k2 = -15

Solving
-26k + 7k2 = -15

Solving for variable 'k'.

Reorder the terms:
15 + -26k + 7k2 = -15 + 15

Combine like terms: -15 + 15 = 0
15 + -26k + 7k2 = 0

Factor a trinomial.
(5 + -7k)(3 + -1k) = 0

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

Simplifying
5 + -7k = 0

Solving
5 + -7k = 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 + -7k = 0 + -5

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

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

Divide each side by '-7'.
k = 0.7142857143

Simplifying
k = 0.7142857143
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 = {0.7142857143, 3}