24x^5y^6-3x^3y^4=

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Solution for 24x^5y^6-3x^3y^4= equation:


Simplifying
24x5y6 + -3x3y4 = 0

Reorder the terms:
-3x3y4 + 24x5y6 = 0

Solving
-3x3y4 + 24x5y6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x3y4'.
3x3y4(-1 + 8x2y2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x3y4' equal to zero and attempt to solve: Simplifying x3y4 = 0 Solving x3y4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y4 = 0 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 '(-1 + 8x2y2)' equal to zero and attempt to solve: Simplifying -1 + 8x2y2 = 0 Solving -1 + 8x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8x2y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8x2y2 = 0 + 1 8x2y2 = 0 + 1 Combine like terms: 0 + 1 = 1 8x2y2 = 1 Divide each side by '8y2'. x2 = 0.125y-2 Simplifying x2 = 0.125y-2 Take the square root of each side: x = {-0.353553391y-1, 0.353553391y-1}

Solution

x = {-0.353553391y-1, 0.353553391y-1}

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