7k^2-30=29k

Solution for 7k^2-30=29k equation:

Simplifying
7k2 + -30 = 29k

Reorder the terms:
-30 + 7k2 = 29k

Solving
-30 + 7k2 = 29k

Solving for variable 'k'.

Reorder the terms:
-30 + -29k + 7k2 = 29k + -29k

Combine like terms: 29k + -29k = 0
-30 + -29k + 7k2 = 0

Factor a trinomial.
(-6 + -7k)(5 + -1k) = 0

Subproblem 1
Set the factor '(-6 + -7k)' equal to zero and attempt to solve:

Simplifying
-6 + -7k = 0

Solving
-6 + -7k = 0

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

Add '6' to each side of the equation.
-6 + 6 + -7k = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -7k = 0 + 6
-7k = 0 + 6

Combine like terms: 0 + 6 = 6
-7k = 6

Divide each side by '-7'.
k = -0.8571428571

Simplifying
k = -0.8571428571
Subproblem 2
Set the factor '(5 + -1k)' equal to zero and attempt to solve:

Simplifying
5 + -1k = 0

Solving
5 + -1k = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1k = 0 + -5
-1k = 0 + -5

Combine like terms: 0 + -5 = -5
-1k = -5

Divide each side by '-1'.
k = 5

Simplifying
k = 5
Solution
k = {-0.8571428571, 5}