(c+4)x(c+10)=0

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Solution for (c+4)x(c+10)=0 equation: 


Simplifying
(c + 4) * x(c + 10) = 0

Reorder the terms:
(4 + c) * x(c + 10) = 0

Reorder the terms:
(4 + c) * x(10 + c) = 0

Reorder the terms for easier multiplication:
x(4 + c)(10 + c) = 0

Multiply (4 + c) * (10 + c)
x(4(10 + c) + c(10 + c)) = 0
x((10 * 4 + c * 4) + c(10 + c)) = 0
x((40 + 4c) + c(10 + c)) = 0
x(40 + 4c + (10 * c + c * c)) = 0
x(40 + 4c + (10c + c2)) = 0

Combine like terms: 4c + 10c = 14c
x(40 + 14c + c2) = 0
(40 * x + 14c * x + c2 * x) = 0

Reorder the terms:
(14cx + c2x + 40x) = 0
(14cx + c2x + 40x) = 0

Solving
14cx + c2x + 40x = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(14c + c2 + 40) = 0

Factor a trinomial.
x((c + 4)(c + 10)) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(c + 4)' equal to zero and attempt to solve:

Simplifying
c + 4 = 0

Reorder the terms:
4 + c = 0

Solving
4 + c = 0

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

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

Combine like terms: 4 + -4 = 0
0 + c = 0 + -4
c = 0 + -4

Combine like terms: 0 + -4 = -4
c = -4

Simplifying
c = -4

Subproblem 3
Set the factor '(c + 10)' equal to zero and attempt to solve:

Simplifying
c + 10 = 0

Reorder the terms:
10 + c = 0

Solving
10 + c = 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 + c = 0 + -10

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

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

Simplifying
c = -10
Solution
c = {-4, -10}

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