40x^5-135x^2y^3=0

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Solution for 40x^5-135x^2y^3=0 equation:


Simplifying
40x5 + -135x2y3 = 0

Reorder the terms:
-135x2y3 + 40x5 = 0

Solving
-135x2y3 + 40x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(-27y3 + 8x3) = 0

Ignore the factor 5.

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 '(-27y3 + 8x3)' equal to zero and attempt to solve: Simplifying -27y3 + 8x3 = 0 Reorder the terms: 8x3 + -27y3 = 0 Solving 8x3 + -27y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '27y3' to each side of the equation. 8x3 + -27y3 + 27y3 = 0 + 27y3 Combine like terms: -27y3 + 27y3 = 0 8x3 + 0 = 0 + 27y3 8x3 = 0 + 27y3 Remove the zero: 8x3 = 27y3 Divide each side by '8'. x3 = 3.375y3 Simplifying x3 = 3.375y3 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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