375x^5+24x^2y^3=0

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Solution for 375x^5+24x^2y^3=0 equation:


Simplifying
375x5 + 24x2y3 = 0

Reorder the terms:
24x2y3 + 375x5 = 0

Solving
24x2y3 + 375x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(8y3 + 125x3) = 0

Ignore the factor 3.

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 '(8y3 + 125x3)' equal to zero and attempt to solve: Simplifying 8y3 + 125x3 = 0 Reorder the terms: 125x3 + 8y3 = 0 Solving 125x3 + 8y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y3' to each side of the equation. 125x3 + 8y3 + -8y3 = 0 + -8y3 Combine like terms: 8y3 + -8y3 = 0 125x3 + 0 = 0 + -8y3 125x3 = 0 + -8y3 Remove the zero: 125x3 = -8y3 Divide each side by '125'. x3 = -0.064y3 Simplifying x3 = -0.064y3 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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