24c^2+62c+18=0

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Solution for 24c^2+62c+18=0 equation:


Simplifying
24c2 + 62c + 18 = 0

Reorder the terms:
18 + 62c + 24c2 = 0

Solving
18 + 62c + 24c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + 31c + 12c2) = 0

Factor a trinomial.
2((9 + 4c)(1 + 3c)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(9 + 4c)' equal to zero and attempt to solve: Simplifying 9 + 4c = 0 Solving 9 + 4c = 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 + 4c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4c = 0 + -9 4c = 0 + -9 Combine like terms: 0 + -9 = -9 4c = -9 Divide each side by '4'. c = -2.25 Simplifying c = -2.25

Subproblem 2

Set the factor '(1 + 3c)' equal to zero and attempt to solve: Simplifying 1 + 3c = 0 Solving 1 + 3c = 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 + 3c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3c = 0 + -1 3c = 0 + -1 Combine like terms: 0 + -1 = -1 3c = -1 Divide each side by '3'. c = -0.3333333333 Simplifying c = -0.3333333333

Solution

c = {-2.25, -0.3333333333}

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