5k^2+28k-49=0

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Solution for 5k^2+28k-49=0 equation: 


Simplifying
5k2 + 28k + -49 = 0

Reorder the terms:
-49 + 28k + 5k2 = 0

Solving
-49 + 28k + 5k2 = 0

Solving for variable 'k'.

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


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

Simplifying
-7 + -1k = 0

Solving
-7 + -1k = 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 + -1k = 0 + 7

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

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

Divide each side by '-1'.
k = -7

Simplifying
k = -7

Subproblem 2
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
Solution
k = {-7, 1.4}

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