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Simplifying 2x * 3y = 8y + -2x Reorder the terms for easier multiplication: 2 * 3x * y = 8y + -2x Multiply 2 * 3 6x * y = 8y + -2x Multiply x * y 6xy = 8y + -2x Reorder the terms: 6xy = -2x + 8y Solving 6xy = -2x + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2x + 6xy = -2x + 2x + 8y Combine like terms: -2x + 2x = 0 2x + 6xy = 0 + 8y 2x + 6xy = 8y Combine like terms: 8y + -8y = 0 2x + 6xy + -8y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(x + 3xy + -4y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(x + 3xy + -4y)' equal to zero and attempt to solve: Simplifying x + 3xy + -4y = 0 Solving x + 3xy + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. x + 3xy + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 x + 3xy + 0 = 0 + 4y x + 3xy = 0 + 4y Remove the zero: x + 3xy = 4y 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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