(9x^6)(y^5)-(8x^4)(y^3)=

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Solution for (9x^6)(y^5)-(8x^4)(y^3)= equation:


Simplifying
(9x6)(y5) + -1(8x4)(y3) = 0

Remove parenthesis around (9x6)
9x6(y5) + -1(8x4)(y3) = 0

Multiply x6 * y5
9x6y5 + -1(8x4)(y3) = 0

Remove parenthesis around (8x4)
9x6y5 + -1 * 8x4(y3) = 0

Multiply -1 * 8
9x6y5 + -8x4 * y3 = 0

Multiply x4 * y3
9x6y5 + -8x4y3 = 0

Reorder the terms:
-8x4y3 + 9x6y5 = 0

Solving
-8x4y3 + 9x6y5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x4y3'.
x4y3(-8 + 9x2y2) = 0

Subproblem 1

Set the factor 'x4y3' equal to zero and attempt to solve: Simplifying x4y3 = 0 Solving x4y3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4y3 = 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 '(-8 + 9x2y2)' equal to zero and attempt to solve: Simplifying -8 + 9x2y2 = 0 Solving -8 + 9x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 9x2y2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 9x2y2 = 0 + 8 9x2y2 = 0 + 8 Combine like terms: 0 + 8 = 8 9x2y2 = 8 Divide each side by '9y2'. x2 = 0.8888888889y-2 Simplifying x2 = 0.8888888889y-2 Take the square root of each side: x = {-0.942809042y-1, 0.942809042y-1}

Solution

x = {-0.942809042y-1, 0.942809042y-1}

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