36x^6y^5=6x^4y

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Solution for 36x^6y^5=6x^4y equation:


Simplifying
36x6y5 = 6x4y

Solving
36x6y5 = 6x4y

Solving for variable 'x'.

Reorder the terms:
-6x4y + 36x6y5 = 6x4y + -6x4y

Combine like terms: 6x4y + -6x4y = 0
-6x4y + 36x6y5 = 0

Factor out the Greatest Common Factor (GCF), '6x4y'.
6x4y(-1 + 6x2y4) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'x4y' equal to zero and attempt to solve: Simplifying x4y = 0 Solving x4y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4y = 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 + 6x2y4)' equal to zero and attempt to solve: Simplifying -1 + 6x2y4 = 0 Solving -1 + 6x2y4 = 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 + 6x2y4 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6x2y4 = 0 + 1 6x2y4 = 0 + 1 Combine like terms: 0 + 1 = 1 6x2y4 = 1 Divide each side by '6y4'. x2 = 0.1666666667y-4 Simplifying x2 = 0.1666666667y-4 Take the square root of each side: x = {-0.408248291y-2, 0.408248291y-2}

Solution

x = {-0.408248291y-2, 0.408248291y-2}

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