7k^2+60k=-32

Solution for 7k^2+60k=-32 equation:

Simplifying
7k2 + 60k = -32

Reorder the terms:
60k + 7k2 = -32

Solving
60k + 7k2 = -32

Solving for variable 'k'.

Reorder the terms:
32 + 60k + 7k2 = -32 + 32

Combine like terms: -32 + 32 = 0
32 + 60k + 7k2 = 0

Factor a trinomial.
(8 + k)(4 + 7k) = 0

Subproblem 1
Set the factor '(8 + k)' equal to zero and attempt to solve:

Simplifying
8 + k = 0

Solving
8 + k = 0

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

Add '-8' to each side of the equation.
8 + -8 + k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + k = 0 + -8
k = 0 + -8

Combine like terms: 0 + -8 = -8
k = -8

Simplifying
k = -8
Subproblem 2
Set the factor '(4 + 7k)' equal to zero and attempt to solve:

Simplifying
4 + 7k = 0

Solving
4 + 7k = 0

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

Add '-4' to each side of the equation.
4 + -4 + 7k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7k = 0 + -4
7k = 0 + -4

Combine like terms: 0 + -4 = -4
7k = -4

Divide each side by '7'.
k = -0.5714285714

Simplifying
k = -0.5714285714
Solution
k = {-8, -0.5714285714}