-7k^2+2k-1=-10

Solution for -7k^2+2k-1=-10 equation:

Simplifying
-7k2 + 2k + -1 = -10

Reorder the terms:
-1 + 2k + -7k2 = -10

Solving
-1 + 2k + -7k2 = -10

Solving for variable 'k'.

Reorder the terms:
-1 + 10 + 2k + -7k2 = -10 + 10

Combine like terms: -1 + 10 = 9
9 + 2k + -7k2 = -10 + 10

Combine like terms: -10 + 10 = 0
9 + 2k + -7k2 = 0

Factor a trinomial.
(9 + -7k)(1 + k) = 0

Subproblem 1
Set the factor '(9 + -7k)' equal to zero and attempt to solve:

Simplifying
9 + -7k = 0

Solving
9 + -7k = 0

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

Add '-9' to each side of the equation.
9 + -9 + -7k = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -7k = 0 + -9
-7k = 0 + -9

Combine like terms: 0 + -9 = -9
-7k = -9

Divide each side by '-7'.
k = 1.285714286

Simplifying
k = 1.285714286
Subproblem 2
Set the factor '(1 + k)' equal to zero and attempt to solve:

Simplifying
1 + k = 0

Solving
1 + k = 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 + k = 0 + -1

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

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

Simplifying
k = -1
Solution
k = {1.285714286, -1}