18x^3=9x^5-27x^2

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Solution for 18x^3=9x^5-27x^2 equation:


Simplifying
18x3 = 9x5 + -27x2

Reorder the terms:
18x3 = -27x2 + 9x5

Solving
18x3 = -27x2 + 9x5

Solving for variable 'x'.

Reorder the terms:
27x2 + 18x3 + -9x5 = -27x2 + 9x5 + 27x2 + -9x5

Reorder the terms:
27x2 + 18x3 + -9x5 = -27x2 + 27x2 + 9x5 + -9x5

Combine like terms: -27x2 + 27x2 = 0
27x2 + 18x3 + -9x5 = 0 + 9x5 + -9x5
27x2 + 18x3 + -9x5 = 9x5 + -9x5

Combine like terms: 9x5 + -9x5 = 0
27x2 + 18x3 + -9x5 = 0

Factor out the Greatest Common Factor (GCF), '9x2'.
9x2(3 + 2x + -1x3) = 0

Ignore the factor 9.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(3 + 2x + -1x3)' equal to zero and attempt to solve: Simplifying 3 + 2x + -1x3 = 0 Solving 3 + 2x + -1x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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