2k^2+5k-7=0

Solution for 2k^2+5k-7=0 equation:

Simplifying
2k2 + 5k + -7 = 0

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

Solving
-7 + 5k + 2k2 = 0

Solving for variable 'k'.

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

Subproblem 1
Set the factor '(-7 + -2k)' equal to zero and attempt to solve:

Simplifying
-7 + -2k = 0

Solving
-7 + -2k = 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 + -2k = 0 + 7

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

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

Divide each side by '-2'.
k = -3.5

Simplifying
k = -3.5
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 = {-3.5, 1}