(-4c-36)(c-4)=0

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Solution for (-4c-36)(c-4)=0 equation:


Simplifying
(-4c + -36)(c + -4) = 0

Reorder the terms:
(-36 + -4c)(c + -4) = 0

Reorder the terms:
(-36 + -4c)(-4 + c) = 0

Multiply (-36 + -4c) * (-4 + c)
(-36(-4 + c) + -4c * (-4 + c)) = 0
((-4 * -36 + c * -36) + -4c * (-4 + c)) = 0
((144 + -36c) + -4c * (-4 + c)) = 0
(144 + -36c + (-4 * -4c + c * -4c)) = 0
(144 + -36c + (16c + -4c2)) = 0

Combine like terms: -36c + 16c = -20c
(144 + -20c + -4c2) = 0

Solving
144 + -20c + -4c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '4'.
4(36 + -5c + -1c2) = 0

Factor a trinomial.
4((4 + -1c)(9 + c)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(4 + -1c)' equal to zero and attempt to solve: Simplifying 4 + -1c = 0 Solving 4 + -1c = 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 + -1c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1c = 0 + -4 -1c = 0 + -4 Combine like terms: 0 + -4 = -4 -1c = -4 Divide each side by '-1'. c = 4 Simplifying c = 4

Subproblem 2

Set the factor '(9 + c)' equal to zero and attempt to solve: Simplifying 9 + c = 0 Solving 9 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + c = 0 + -9 c = 0 + -9 Combine like terms: 0 + -9 = -9 c = -9 Simplifying c = -9

Solution

c = {4, -9}

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