c^2+7c=30

Solution for c^2+7c=30 equation:

Simplifying
c2 + 7c = 30

Reorder the terms:
7c + c2 = 30

Solving
7c + c2 = 30

Solving for variable 'c'.

Reorder the terms:
-30 + 7c + c2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + 7c + c2 = 0

Factor a trinomial.
(-10 + -1c)(3 + -1c) = 0

Subproblem 1
Set the factor '(-10 + -1c)' equal to zero and attempt to solve:

Simplifying
-10 + -1c = 0

Solving
-10 + -1c = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1c = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1c = 0 + 10
-1c = 0 + 10

Combine like terms: 0 + 10 = 10
-1c = 10

Divide each side by '-1'.
c = -10

Simplifying
c = -10
Subproblem 2
Set the factor '(3 + -1c)' equal to zero and attempt to solve:

Simplifying
3 + -1c = 0

Solving
3 + -1c = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1c = 0 + -3
-1c = 0 + -3

Combine like terms: 0 + -3 = -3
-1c = -3

Divide each side by '-1'.
c = 3

Simplifying
c = 3
Solution
c = {-10, 3}