5k^2+2k-7=

Solution for 5k^2+2k-7= equation:

Simplifying
5k2 + 2k + -7 = 0

Reorder the terms:
-7 + 2k + 5k2 = 0

Solving
-7 + 2k + 5k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-7 + -5k)(1 + -1k) = 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 '(1 + -1k)' equal to zero and attempt to solve:

Simplifying
1 + -1k = 0

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

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

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

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

Simplifying
k = 1
Solution
k = {-1.4, 1}