128x^5+54x^2y^3=0

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Solution for 128x^5+54x^2y^3=0 equation:


Simplifying
128x5 + 54x2y3 = 0

Reorder the terms:
54x2y3 + 128x5 = 0

Solving
54x2y3 + 128x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(27y3 + 64x3) = 0

Ignore the factor 2.

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 + 64x3)' equal to zero and attempt to solve: Simplifying 27y3 + 64x3 = 0 Reorder the terms: 64x3 + 27y3 = 0 Solving 64x3 + 27y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-27y3' to each side of the equation. 64x3 + 27y3 + -27y3 = 0 + -27y3 Combine like terms: 27y3 + -27y3 = 0 64x3 + 0 = 0 + -27y3 64x3 = 0 + -27y3 Remove the zero: 64x3 = -27y3 Divide each side by '64'. x3 = -0.421875y3 Simplifying x3 = -0.421875y3 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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