3x^26y-24=0

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Solution for 3x^26y-24=0 equation:


Simplifying
3x26y + -24 = 0

Reorder the terms:
-24 + 3x26y = 0

Solving
-24 + 3x26y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '24' to each side of the equation.
-24 + 24 + 3x26y = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 3x26y = 0 + 24
3x26y = 0 + 24

Combine like terms: 0 + 24 = 24
3x26y = 24

Divide each side by '3y'.
x26 = 8y-1

Simplifying
x26 = 8y-1

Combine like terms: 8y-1 + -8y-1 = 0
x26 + -8y-1 = 0

Factor out the Greatest Common Factor (GCF), 'y-1'.
y-1(x26y + -8) = 0

Subproblem 1

Set the factor 'y-1' equal to zero and attempt to solve: Simplifying y-1 = 0 Solving y-1 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-1' to each side of the equation. y-1 + -1y-1 = 0 + -1y-1 Remove the zero: 0 = -1y-1 Simplifying 0 = -1y-1 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 '(x26y + -8)' equal to zero and attempt to solve: Simplifying x26y + -8 = 0 Reorder the terms: -8 + x26y = 0 Solving -8 + x26y = 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 + x26y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x26y = 0 + 8 x26y = 0 + 8 Combine like terms: 0 + 8 = 8 x26y = 8 Divide each side by 'y'. x26 = 8y-1 Simplifying x26 = 8y-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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