(4c+2)(c+4)=

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Solution for (4c+2)(c+4)= equation:


Simplifying
(4c + 2)(c + 4) = 0

Reorder the terms:
(2 + 4c)(c + 4) = 0

Reorder the terms:
(2 + 4c)(4 + c) = 0

Multiply (2 + 4c) * (4 + c)
(2(4 + c) + 4c * (4 + c)) = 0
((4 * 2 + c * 2) + 4c * (4 + c)) = 0
((8 + 2c) + 4c * (4 + c)) = 0
(8 + 2c + (4 * 4c + c * 4c)) = 0
(8 + 2c + (16c + 4c2)) = 0

Combine like terms: 2c + 16c = 18c
(8 + 18c + 4c2) = 0

Solving
8 + 18c + 4c2 = 0

Solving for variable 'c'.

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

Factor a trinomial.
2((4 + c)(1 + 2c)) = 0

Ignore the factor 2.

Subproblem 1

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

Set the factor '(1 + 2c)' equal to zero and attempt to solve: Simplifying 1 + 2c = 0 Solving 1 + 2c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2c = 0 + -1 2c = 0 + -1 Combine like terms: 0 + -1 = -1 2c = -1 Divide each side by '2'. c = -0.5 Simplifying c = -0.5

Solution

c = {-4, -0.5}

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