(5c-2c)(d+4)=

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Solution for (5c-2c)(d+4)= equation:


Simplifying
(5c + -2c)(d + 4) = 0

Combine like terms: 5c + -2c = 3c
(3c)(d + 4) = 0

Remove parenthesis around (3c)
3c(d + 4) = 0

Reorder the terms:
3c(4 + d) = 0
(4 * 3c + d * 3c) = 0
(12c + 3cd) = 0

Solving
12c + 3cd = 0

Solving for variable 'c'.

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

Factor out the Greatest Common Factor (GCF), '3c'.
3c(4 + d) = 0

Ignore the factor 3.

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 '(4 + d)' equal to zero and attempt to solve: Simplifying 4 + d = 0 Solving 4 + d = 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 + d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + d = 0 + -4 d = 0 + -4 Combine like terms: 0 + -4 = -4 d = -4 Add '-1d' to each side of the equation. d + -1d = -4 + -1d Combine like terms: d + -1d = 0 0 = -4 + -1d Simplifying 0 = -4 + -1d The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

c = {0}

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