5c^3+10c^2-315c=0

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Solution for 5c^3+10c^2-315c=0 equation: 


Simplifying
5c3 + 10c2 + -315c = 0

Reorder the terms:
-315c + 10c2 + 5c3 = 0

Solving
-315c + 10c2 + 5c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '5c'.
5c(-63 + 2c + c2) = 0

Factor a trinomial.
5c((-9 + -1c)(7 + -1c)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'c' equal to zero and attempt to solve:

Simplifying
c = 0

Solving
c = 0

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

Simplifying
c = 0

Subproblem 2
Set the factor '(-9 + -1c)' equal to zero and attempt to solve:

Simplifying
-9 + -1c = 0

Solving
-9 + -1c = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1c = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1c = 0 + 9
-1c = 0 + 9

Combine like terms: 0 + 9 = 9
-1c = 9

Divide each side by '-1'.
c = -9

Simplifying
c = -9

Subproblem 3
Set the factor '(7 + -1c)' equal to zero and attempt to solve:

Simplifying
7 + -1c = 0

Solving
7 + -1c = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1c = 0 + -7

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

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

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

Simplifying
c = 7
Solution
c = {0, -9, 7}

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