3c^2+14c+8=

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Solution for 3c^2+14c+8= equation:


Simplifying
3c2 + 14c + 8 = 0

Reorder the terms:
8 + 14c + 3c2 = 0

Solving
8 + 14c + 3c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(4 + c)(2 + 3c) = 0

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 '(2 + 3c)' equal to zero and attempt to solve: Simplifying 2 + 3c = 0 Solving 2 + 3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3c = 0 + -2 3c = 0 + -2 Combine like terms: 0 + -2 = -2 3c = -2 Divide each side by '3'. c = -0.6666666667 Simplifying c = -0.6666666667

Solution

c = {-4, -0.6666666667}

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