18c^4-39c^2+20=0

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Solution for 18c^4-39c^2+20=0 equation:


Simplifying
18c4 + -39c2 + 20 = 0

Reorder the terms:
20 + -39c2 + 18c4 = 0

Solving
20 + -39c2 + 18c4 = 0

Solving for variable 'c'.

Factor a trinomial.
(5 + -6c2)(4 + -3c2) = 0

Subproblem 1

Set the factor '(5 + -6c2)' equal to zero and attempt to solve: Simplifying 5 + -6c2 = 0 Solving 5 + -6c2 = 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 + -6c2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6c2 = 0 + -5 -6c2 = 0 + -5 Combine like terms: 0 + -5 = -5 -6c2 = -5 Divide each side by '-6'. c2 = 0.8333333333 Simplifying c2 = 0.8333333333 Take the square root of each side: c = {-0.912870929, 0.912870929}

Subproblem 2

Set the factor '(4 + -3c2)' equal to zero and attempt to solve: Simplifying 4 + -3c2 = 0 Solving 4 + -3c2 = 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 + -3c2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3c2 = 0 + -4 -3c2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3c2 = -4 Divide each side by '-3'. c2 = 1.333333333 Simplifying c2 = 1.333333333 Take the square root of each side: c = {-1.154700538, 1.154700538}

Solution

c = {-0.912870929, 0.912870929, -1.154700538, 1.154700538}

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