6c^2+31c+35=

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Solution for 6c^2+31c+35= equation:


Simplifying
6c2 + 31c + 35 = 0

Reorder the terms:
35 + 31c + 6c2 = 0

Solving
35 + 31c + 6c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(7 + 2c)(5 + 3c) = 0

Subproblem 1

Set the factor '(7 + 2c)' equal to zero and attempt to solve: Simplifying 7 + 2c = 0 Solving 7 + 2c = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2c = 0 + -7 2c = 0 + -7 Combine like terms: 0 + -7 = -7 2c = -7 Divide each side by '2'. c = -3.5 Simplifying c = -3.5

Subproblem 2

Set the factor '(5 + 3c)' equal to zero and attempt to solve: Simplifying 5 + 3c = 0 Solving 5 + 3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3c = 0 + -5 3c = 0 + -5 Combine like terms: 0 + -5 = -5 3c = -5 Divide each side by '3'. c = -1.666666667 Simplifying c = -1.666666667

Solution

c = {-3.5, -1.666666667}

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