(-2c)(4c^2+9c+6)=

Solution for (-2c)(4c^2+9c+6)= equation:

Simplifying
(-2c)(4c2 + 9c + 6) = 0

Remove parenthesis around (-2c)
-2c(4c2 + 9c + 6) = 0

Reorder the terms:
-2c(6 + 9c + 4c2) = 0
(6 * -2c + 9c * -2c + 4c2 * -2c) = 0
(-12c + -18c2 + -8c3) = 0

Solving
-12c + -18c2 + -8c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '-2c'.
-2c(6 + 9c + 4c2) = 0

Ignore the factor -2.
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 '(6 + 9c + 4c2)' equal to zero and attempt to solve:

Simplifying
6 + 9c + 4c2 = 0

Solving
6 + 9c + 4c2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
1.5 + 2.25c + c2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 2.25c + -1.5 + c2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 2.25c + c2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 2.25c + c2 = 0 + -1.5
2.25c + c2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
2.25c + c2 = -1.5

The c term is 2.25c.  Take half its coefficient (1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
2.25c + 1.265625 + c2 = -1.5 + 1.265625

Reorder the terms:
1.265625 + 2.25c + c2 = -1.5 + 1.265625

Combine like terms: -1.5 + 1.265625 = -0.234375
1.265625 + 2.25c + c2 = -0.234375

Factor a perfect square on the left side:
(c + 1.125)(c + 1.125) = -0.234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
c = {0}