8x^6y^5-3x^8y^3=

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Solution for 8x^6y^5-3x^8y^3= equation:


Simplifying
8x6y5 + -3x8y3 = 0

Solving
8x6y5 + -3x8y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x6y3'.
x6y3(8y2 + -3x2) = 0

Subproblem 1

Set the factor 'x6y3' equal to zero and attempt to solve: Simplifying x6y3 = 0 Solving x6y3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x6y3 = 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 '(8y2 + -3x2)' equal to zero and attempt to solve: Simplifying 8y2 + -3x2 = 0 Reorder the terms: -3x2 + 8y2 = 0 Solving -3x2 + 8y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y2' to each side of the equation. -3x2 + 8y2 + -8y2 = 0 + -8y2 Combine like terms: 8y2 + -8y2 = 0 -3x2 + 0 = 0 + -8y2 -3x2 = 0 + -8y2 Remove the zero: -3x2 = -8y2 Divide each side by '-3'. x2 = 2.666666667y2 Simplifying x2 = 2.666666667y2 Take the square root of each side: x = {-1.632993162y, 1.632993162y}

Solution

x = {-1.632993162y, 1.632993162y}

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