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Simplifying 42xy + 56x + -6y + -8 = 0 Reorder the terms: -8 + 56x + 42xy + -6y = 0 Solving -8 + 56x + 42xy + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 56x + 42xy + 8 + -6y = 0 + 8 Reorder the terms: -8 + 8 + 56x + 42xy + -6y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 56x + 42xy + -6y = 0 + 8 56x + 42xy + -6y = 0 + 8 Combine like terms: 0 + 8 = 8 56x + 42xy + -6y = 8 Add '6y' to each side of the equation. 56x + 42xy + -6y + 6y = 8 + 6y Combine like terms: -6y + 6y = 0 56x + 42xy + 0 = 8 + 6y 56x + 42xy = 8 + 6y Reorder the terms: -8 + 56x + 42xy + -6y = 8 + 6y + -8 + -6y Reorder the terms: -8 + 56x + 42xy + -6y = 8 + -8 + 6y + -6y Combine like terms: 8 + -8 = 0 -8 + 56x + 42xy + -6y = 0 + 6y + -6y -8 + 56x + 42xy + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 -8 + 56x + 42xy + -6y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 28x + 21xy + -3y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + 28x + 21xy + -3y)' equal to zero and attempt to solve: Simplifying -4 + 28x + 21xy + -3y = 0 Solving -4 + 28x + 21xy + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 28x + 21xy + 4 + -3y = 0 + 4 Reorder the terms: -4 + 4 + 28x + 21xy + -3y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 28x + 21xy + -3y = 0 + 4 28x + 21xy + -3y = 0 + 4 Combine like terms: 0 + 4 = 4 28x + 21xy + -3y = 4 Add '3y' to each side of the equation. 28x + 21xy + -3y + 3y = 4 + 3y Combine like terms: -3y + 3y = 0 28x + 21xy + 0 = 4 + 3y 28x + 21xy = 4 + 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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