-16c(2d-c)(2d+c)=0

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Solution for -16c(2d-c)(2d+c)=0 equation: 


Simplifying
-16c(2d + -1c)(2d + c) = 0

Reorder the terms:
-16c(-1c + 2d)(2d + c) = 0

Reorder the terms:
-16c(-1c + 2d)(c + 2d) = 0

Multiply (-1c + 2d) * (c + 2d)
-16c(-1c * (c + 2d) + 2d * (c + 2d)) = 0
-16c((c * -1c + 2d * -1c) + 2d * (c + 2d)) = 0

Reorder the terms:
-16c((-2cd + -1c2) + 2d * (c + 2d)) = 0
-16c((-2cd + -1c2) + 2d * (c + 2d)) = 0
-16c(-2cd + -1c2 + (c * 2d + 2d * 2d)) = 0
-16c(-2cd + -1c2 + (2cd + 4d2)) = 0

Reorder the terms:
-16c(-2cd + 2cd + -1c2 + 4d2) = 0

Combine like terms: -2cd + 2cd = 0
-16c(0 + -1c2 + 4d2) = 0
-16c(-1c2 + 4d2) = 0
(-1c2 * -16c + 4d2 * -16c) = 0

Reorder the terms:
(-64cd2 + 16c3) = 0
(-64cd2 + 16c3) = 0

Solving
-64cd2 + 16c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '16c'.
16c(-4d2 + c2) = 0

Factor a difference between two squares.
16c((2d + c)(-2d + c)) = 0

Ignore the factor 16.

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 '(2d + c)' equal to zero and attempt to solve:

Simplifying
2d + c = 0

Reorder the terms:
c + 2d = 0

Solving
c + 2d = 0

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

Add '-2d' to each side of the equation.
c + 2d + -2d = 0 + -2d

Combine like terms: 2d + -2d = 0
c + 0 = 0 + -2d
c = 0 + -2d
Remove the zero:
c = -2d

Simplifying
c = -2d

Subproblem 3
Set the factor '(-2d + c)' equal to zero and attempt to solve:

Simplifying
-2d + c = 0

Reorder the terms:
c + -2d = 0

Solving
c + -2d = 0

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

Add '2d' to each side of the equation.
c + -2d + 2d = 0 + 2d

Combine like terms: -2d + 2d = 0
c + 0 = 0 + 2d
c = 0 + 2d
Remove the zero:
c = 2d

Simplifying
c = 2d
Solution
c = {0, -2d, 2d}

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