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Simplifying 9(x + 2) * y2 + 48(x + 2) * y + -36(x + 2) = 0 Reorder the terms: 9(2 + x) * y2 + 48(x + 2) * y + -36(x + 2) = 0 Reorder the terms for easier multiplication: 9y2(2 + x) + 48(x + 2) * y + -36(x + 2) = 0 (2 * 9y2 + x * 9y2) + 48(x + 2) * y + -36(x + 2) = 0 Reorder the terms: (9xy2 + 18y2) + 48(x + 2) * y + -36(x + 2) = 0 (9xy2 + 18y2) + 48(x + 2) * y + -36(x + 2) = 0 Reorder the terms: 9xy2 + 18y2 + 48(2 + x) * y + -36(x + 2) = 0 Reorder the terms for easier multiplication: 9xy2 + 18y2 + 48y(2 + x) + -36(x + 2) = 0 9xy2 + 18y2 + (2 * 48y + x * 48y) + -36(x + 2) = 0 Reorder the terms: 9xy2 + 18y2 + (48xy + 96y) + -36(x + 2) = 0 9xy2 + 18y2 + (48xy + 96y) + -36(x + 2) = 0 Reorder the terms: 9xy2 + 18y2 + 48xy + 96y + -36(2 + x) = 0 9xy2 + 18y2 + 48xy + 96y + (2 * -36 + x * -36) = 0 9xy2 + 18y2 + 48xy + 96y + (-72 + -36x) = 0 Reorder the terms: -72 + -36x + 48xy + 9xy2 + 96y + 18y2 = 0 Solving -72 + -36x + 48xy + 9xy2 + 96y + 18y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + -36x + 48xy + 9xy2 + 96y + 72 + 18y2 = 0 + 72 Reorder the terms: -72 + 72 + -36x + 48xy + 9xy2 + 96y + 18y2 = 0 + 72 Combine like terms: -72 + 72 = 0 0 + -36x + 48xy + 9xy2 + 96y + 18y2 = 0 + 72 -36x + 48xy + 9xy2 + 96y + 18y2 = 0 + 72 Combine like terms: 0 + 72 = 72 -36x + 48xy + 9xy2 + 96y + 18y2 = 72 Add '-96y' to each side of the equation. -36x + 48xy + 9xy2 + 96y + -96y + 18y2 = 72 + -96y Combine like terms: 96y + -96y = 0 -36x + 48xy + 9xy2 + 0 + 18y2 = 72 + -96y -36x + 48xy + 9xy2 + 18y2 = 72 + -96y Add '-18y2' to each side of the equation. -36x + 48xy + 9xy2 + 18y2 + -18y2 = 72 + -96y + -18y2 Combine like terms: 18y2 + -18y2 = 0 -36x + 48xy + 9xy2 + 0 = 72 + -96y + -18y2 -36x + 48xy + 9xy2 = 72 + -96y + -18y2 Reorder the terms: -72 + -36x + 48xy + 9xy2 + 96y + 18y2 = 72 + -96y + -18y2 + -72 + 96y + 18y2 Reorder the terms: -72 + -36x + 48xy + 9xy2 + 96y + 18y2 = 72 + -72 + -96y + 96y + -18y2 + 18y2 Combine like terms: 72 + -72 = 0 -72 + -36x + 48xy + 9xy2 + 96y + 18y2 = 0 + -96y + 96y + -18y2 + 18y2 -72 + -36x + 48xy + 9xy2 + 96y + 18y2 = -96y + 96y + -18y2 + 18y2 Combine like terms: -96y + 96y = 0 -72 + -36x + 48xy + 9xy2 + 96y + 18y2 = 0 + -18y2 + 18y2 -72 + -36x + 48xy + 9xy2 + 96y + 18y2 = -18y2 + 18y2 Combine like terms: -18y2 + 18y2 = 0 -72 + -36x + 48xy + 9xy2 + 96y + 18y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-24 + -12x + 16xy + 3xy2 + 32y + 6y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-24 + -12x + 16xy + 3xy2 + 32y + 6y2)' equal to zero and attempt to solve: Simplifying -24 + -12x + 16xy + 3xy2 + 32y + 6y2 = 0 Solving -24 + -12x + 16xy + 3xy2 + 32y + 6y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -12x + 16xy + 3xy2 + 32y + 24 + 6y2 = 0 + 24 Reorder the terms: -24 + 24 + -12x + 16xy + 3xy2 + 32y + 6y2 = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -12x + 16xy + 3xy2 + 32y + 6y2 = 0 + 24 -12x + 16xy + 3xy2 + 32y + 6y2 = 0 + 24 Combine like terms: 0 + 24 = 24 -12x + 16xy + 3xy2 + 32y + 6y2 = 24 Add '-32y' to each side of the equation. -12x + 16xy + 3xy2 + 32y + -32y + 6y2 = 24 + -32y Combine like terms: 32y + -32y = 0 -12x + 16xy + 3xy2 + 0 + 6y2 = 24 + -32y -12x + 16xy + 3xy2 + 6y2 = 24 + -32y Add '-6y2' to each side of the equation. -12x + 16xy + 3xy2 + 6y2 + -6y2 = 24 + -32y + -6y2 Combine like terms: 6y2 + -6y2 = 0 -12x + 16xy + 3xy2 + 0 = 24 + -32y + -6y2 -12x + 16xy + 3xy2 = 24 + -32y + -6y2 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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