45c^5-65c^3+27c=0

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Solution for 45c^5-65c^3+27c=0 equation:


Simplifying
45c5 + -65c3 + 27c = 0

Reorder the terms:
27c + -65c3 + 45c5 = 0

Solving
27c + -65c3 + 45c5 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c'.
c(27 + -65c2 + 45c4) = 0

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 '(27 + -65c2 + 45c4)' equal to zero and attempt to solve: Simplifying 27 + -65c2 + 45c4 = 0 Solving 27 + -65c2 + 45c4 = 0 Begin completing the square. Divide all terms by 45 the coefficient of the squared term: Divide each side by '45'. 0.6 + -1.444444444c2 + c4 = 0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + -1.444444444c2 + -0.6 + c4 = 0 + -0.6 Reorder the terms: 0.6 + -0.6 + -1.444444444c2 + c4 = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -1.444444444c2 + c4 = 0 + -0.6 -1.444444444c2 + c4 = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 -1.444444444c2 + c4 = -0.6 The c term is -1.444444444c2. Take half its coefficient (-0.722222222). Square it (0.5216049380) and add it to both sides. Add '0.5216049380' to each side of the equation. -1.444444444c2 + 0.5216049380 + c4 = -0.6 + 0.5216049380 Reorder the terms: 0.5216049380 + -1.444444444c2 + c4 = -0.6 + 0.5216049380 Combine like terms: -0.6 + 0.5216049380 = -0.078395062 0.5216049380 + -1.444444444c2 + c4 = -0.078395062 Factor a perfect square on the left side: (c2 + -0.722222222)(c2 + -0.722222222) = -0.078395062 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

c = {0}

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