c^2-cz-30z^2=

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Solution for c^2-cz-30z^2= equation: 


Simplifying
c2 + -1cz + -30z2 = 0

Reorder the terms:
-1cz + c2 + -30z2 = 0

Solving
-1cz + c2 + -30z2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + -6z)(c + 5z) = 0


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

Simplifying
c + -6z = 0

Solving
c + -6z = 0

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

Add '6z' to each side of the equation.
c + -6z + 6z = 0 + 6z

Combine like terms: -6z + 6z = 0
c + 0 = 0 + 6z
c = 0 + 6z
Remove the zero:
c = 6z

Simplifying
c = 6z

Subproblem 2
Set the factor '(c + 5z)' equal to zero and attempt to solve:

Simplifying
c + 5z = 0

Solving
c + 5z = 0

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

Add '-5z' to each side of the equation.
c + 5z + -5z = 0 + -5z

Combine like terms: 5z + -5z = 0
c + 0 = 0 + -5z
c = 0 + -5z
Remove the zero:
c = -5z

Simplifying
c = -5z
Solution
c = {6z, -5z}

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