36x^3y=64x^2y^6

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Solution for 36x^3y=64x^2y^6 equation:


Simplifying
36x3y = 64x2y6

Solving
36x3y = 64x2y6

Solving for variable 'x'.

Reorder the terms:
-64x2y6 + 36x3y = 64x2y6 + -64x2y6

Combine like terms: 64x2y6 + -64x2y6 = 0
-64x2y6 + 36x3y = 0

Factor out the Greatest Common Factor (GCF), '4x2y'.
4x2y(-16y5 + 9x) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 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 '(-16y5 + 9x)' equal to zero and attempt to solve: Simplifying -16y5 + 9x = 0 Reorder the terms: 9x + -16y5 = 0 Solving 9x + -16y5 = 0 Move all terms containing x to the left, all other terms to the right. Add '16y5' to each side of the equation. 9x + -16y5 + 16y5 = 0 + 16y5 Combine like terms: -16y5 + 16y5 = 0 9x + 0 = 0 + 16y5 9x = 0 + 16y5 Remove the zero: 9x = 16y5 Divide each side by '9'. x = 1.777777778y5 Simplifying x = 1.777777778y5

Solution

x = {1.777777778y5}

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