8c^3+18c^2-56c=0

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Solution for 8c^3+18c^2-56c=0 equation:


Simplifying
8c3 + 18c2 + -56c = 0

Reorder the terms:
-56c + 18c2 + 8c3 = 0

Solving
-56c + 18c2 + 8c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2c'.
2c(-28 + 9c + 4c2) = 0

Factor a trinomial.
2c((-4 + -1c)(7 + -4c)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0

Subproblem 2

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 3

Set the factor '(7 + -4c)' equal to zero and attempt to solve: Simplifying 7 + -4c = 0 Solving 7 + -4c = 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 + -4c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4c = 0 + -7 -4c = 0 + -7 Combine like terms: 0 + -7 = -7 -4c = -7 Divide each side by '-4'. c = 1.75 Simplifying c = 1.75

Solution

c = {0, -4, 1.75}

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