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Simplifying 3x + -6y(-6x + 34) = 30 Reorder the terms: 3x + -6y(34 + -6x) = 30 3x + (34 * -6y + -6x * -6y) = 30 Reorder the terms: 3x + (36xy + -204y) = 30 3x + (36xy + -204y) = 30 Solving 3x + 36xy + -204y = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '204y' to each side of the equation. 3x + 36xy + -204y + 204y = 30 + 204y Combine like terms: -204y + 204y = 0 3x + 36xy + 0 = 30 + 204y 3x + 36xy = 30 + 204y Reorder the terms: -30 + 3x + 36xy + -204y = 30 + 204y + -30 + -204y Reorder the terms: -30 + 3x + 36xy + -204y = 30 + -30 + 204y + -204y Combine like terms: 30 + -30 = 0 -30 + 3x + 36xy + -204y = 0 + 204y + -204y -30 + 3x + 36xy + -204y = 204y + -204y Combine like terms: 204y + -204y = 0 -30 + 3x + 36xy + -204y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-10 + x + 12xy + -68y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-10 + x + 12xy + -68y)' equal to zero and attempt to solve: Simplifying -10 + x + 12xy + -68y = 0 Solving -10 + x + 12xy + -68y = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + x + 12xy + 10 + -68y = 0 + 10 Reorder the terms: -10 + 10 + x + 12xy + -68y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x + 12xy + -68y = 0 + 10 x + 12xy + -68y = 0 + 10 Combine like terms: 0 + 10 = 10 x + 12xy + -68y = 10 Add '68y' to each side of the equation. x + 12xy + -68y + 68y = 10 + 68y Combine like terms: -68y + 68y = 0 x + 12xy + 0 = 10 + 68y x + 12xy = 10 + 68y 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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