(c-6)(2c+8)=

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Solution for (c-6)(2c+8)= equation:


Simplifying
(c + -6)(2c + 8) = 0

Reorder the terms:
(-6 + c)(2c + 8) = 0

Reorder the terms:
(-6 + c)(8 + 2c) = 0

Multiply (-6 + c) * (8 + 2c)
(-6(8 + 2c) + c(8 + 2c)) = 0
((8 * -6 + 2c * -6) + c(8 + 2c)) = 0
((-48 + -12c) + c(8 + 2c)) = 0
(-48 + -12c + (8 * c + 2c * c)) = 0
(-48 + -12c + (8c + 2c2)) = 0

Combine like terms: -12c + 8c = -4c
(-48 + -4c + 2c2) = 0

Solving
-48 + -4c + 2c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + -2c + c2) = 0

Factor a trinomial.
2((-4 + -1c)(6 + -1c)) = 0

Ignore the factor 2.

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 '(6 + -1c)' equal to zero and attempt to solve: Simplifying 6 + -1c = 0 Solving 6 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1c = 0 + -6 -1c = 0 + -6 Combine like terms: 0 + -6 = -6 -1c = -6 Divide each side by '-1'. c = 6 Simplifying c = 6

Solution

c = {-4, 6}

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