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Simplifying 2x + 6y = 7x * 8y Reorder the terms for easier multiplication: 2x + 6y = 7 * 8x * y Multiply 7 * 8 2x + 6y = 56x * y Multiply x * y 2x + 6y = 56xy Solving 2x + 6y = 56xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56xy' to each side of the equation. 2x + -56xy + 6y = 56xy + -56xy Combine like terms: 56xy + -56xy = 0 2x + -56xy + 6y = 0 Add '-6y' to each side of the equation. 2x + -56xy + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 2x + -56xy + 0 = 0 + -6y 2x + -56xy = 0 + -6y Remove the zero: 2x + -56xy = -6y Combine like terms: -6y + 6y = 0 2x + -56xy + 6y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(x + -28xy + 3y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(x + -28xy + 3y)' equal to zero and attempt to solve: Simplifying x + -28xy + 3y = 0 Solving x + -28xy + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. x + -28xy + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 x + -28xy + 0 = 0 + -3y x + -28xy = 0 + -3y Remove the zero: x + -28xy = -3y 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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