7k^2=-2+15k

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

Simplifying
7k2 = -2 + 15k

Solving
7k2 = -2 + 15k

Solving for variable 'k'.

Reorder the terms:
2 + -15k + 7k2 = -2 + 15k + 2 + -15k

Reorder the terms:
2 + -15k + 7k2 = -2 + 2 + 15k + -15k

Combine like terms: -2 + 2 = 0
2 + -15k + 7k2 = 0 + 15k + -15k
2 + -15k + 7k2 = 15k + -15k

Combine like terms: 15k + -15k = 0
2 + -15k + 7k2 = 0

Factor a trinomial.
(1 + -7k)(2 + -1k) = 0

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

Simplifying
1 + -7k = 0

Solving
1 + -7k = 0

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

Add '-1' to each side of the equation.
1 + -1 + -7k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7k = 0 + -1
-7k = 0 + -1

Combine like terms: 0 + -1 = -1
-7k = -1

Divide each side by '-7'.
k = 0.1428571429

Simplifying
k = 0.1428571429
Subproblem 2
Set the factor '(2 + -1k)' equal to zero and attempt to solve:

Simplifying
2 + -1k = 0

Solving
2 + -1k = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1k = 0 + -2
-1k = 0 + -2

Combine like terms: 0 + -2 = -2
-1k = -2

Divide each side by '-1'.
k = 2

Simplifying
k = 2
Solution
k = {0.1428571429, 2}