(2x)(3xy)=8

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Solution for (2x)(3xy)=8 equation:


Simplifying
(2x)(3xy) = 8

Remove parenthesis around (2x)
2x(3xy) = 8

Remove parenthesis around (3xy)
2x * 3xy = 8

Reorder the terms for easier multiplication:
2 * 3x * xy = 8

Multiply 2 * 3
6x * xy = 8

Multiply x * xy
6x2y = 8

Solving
6x2y = 8

Solving for variable 'x'.

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

Divide each side by '6y'.
x2 = 1.333333333y-1

Simplifying
x2 = 1.333333333y-1

Combine like terms: 1.333333333y-1 + -1.333333333y-1 = 0.000000000
x2 + -1.333333333y-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'y-1'.
y-1(x2y + -1.333333333) = 0.000000000

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 '(x2y + -1.333333333)' equal to zero and attempt to solve: Simplifying x2y + -1.333333333 = 0 Reorder the terms: -1.333333333 + x2y = 0 Solving -1.333333333 + x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '1.333333333' to each side of the equation. -1.333333333 + 1.333333333 + x2y = 0 + 1.333333333 Combine like terms: -1.333333333 + 1.333333333 = 0.000000000 0.000000000 + x2y = 0 + 1.333333333 x2y = 0 + 1.333333333 Combine like terms: 0 + 1.333333333 = 1.333333333 x2y = 1.333333333 Divide each side by 'y'. x2 = 1.333333333y-1 Simplifying x2 = 1.333333333y-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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