5xcan(x^3+1)=2x(x^2+2)

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Solution for 5xcan(x^3+1)=2x(x^2+2) equation:


Simplifying
5xcan(x3 + 1) = 2x(x2 + 2)

Reorder the terms:
5acnx(1 + x3) = 2x(x2 + 2)
(1 * 5acnx + x3 * 5acnx) = 2x(x2 + 2)
(5acnx + 5acnx4) = 2x(x2 + 2)

Reorder the terms:
5acnx + 5acnx4 = 2x(2 + x2)
5acnx + 5acnx4 = (2 * 2x + x2 * 2x)
5acnx + 5acnx4 = (4x + 2x3)

Solving
5acnx + 5acnx4 = 4x + 2x3

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Reorder the terms:
5acnx + 5acnx4 + -4x + -2x3 = 4x + -4x + 2x3 + -2x3

Combine like terms: 4x + -4x = 0
5acnx + 5acnx4 + -4x + -2x3 = 0 + 2x3 + -2x3
5acnx + 5acnx4 + -4x + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
5acnx + 5acnx4 + -4x + -2x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(5acn + 5acnx3 + -4 + -2x2) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(5acn + 5acnx3 + -4 + -2x2)' equal to zero and attempt to solve: Simplifying 5acn + 5acnx3 + -4 + -2x2 = 0 Reorder the terms: -4 + 5acn + 5acnx3 + -2x2 = 0 Solving -4 + 5acn + 5acnx3 + -2x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 5acn + 5acnx3 + 4 + -2x2 = 0 + 4 Reorder the terms: -4 + 4 + 5acn + 5acnx3 + -2x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5acn + 5acnx3 + -2x2 = 0 + 4 5acn + 5acnx3 + -2x2 = 0 + 4 Combine like terms: 0 + 4 = 4 5acn + 5acnx3 + -2x2 = 4 Add '2x2' to each side of the equation. 5acn + 5acnx3 + -2x2 + 2x2 = 4 + 2x2 Combine like terms: -2x2 + 2x2 = 0 5acn + 5acnx3 + 0 = 4 + 2x2 5acn + 5acnx3 = 4 + 2x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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