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Simplifying (x + 2)(y2 + 2y + -12) = 0 Reorder the terms: (2 + x)(y2 + 2y + -12) = 0 Reorder the terms: (2 + x)(-12 + 2y + y2) = 0 Multiply (2 + x) * (-12 + 2y + y2) (2(-12 + 2y + y2) + x(-12 + 2y + y2)) = 0 ((-12 * 2 + 2y * 2 + y2 * 2) + x(-12 + 2y + y2)) = 0 ((-24 + 4y + 2y2) + x(-12 + 2y + y2)) = 0 (-24 + 4y + 2y2 + (-12 * x + 2y * x + y2 * x)) = 0 (-24 + 4y + 2y2 + (-12x + 2xy + xy2)) = 0 Reorder the terms: (-24 + -12x + 2xy + xy2 + 4y + 2y2) = 0 (-24 + -12x + 2xy + xy2 + 4y + 2y2) = 0 Solving -24 + -12x + 2xy + xy2 + 4y + 2y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -12x + 2xy + xy2 + 4y + 24 + 2y2 = 0 + 24 Reorder the terms: -24 + 24 + -12x + 2xy + xy2 + 4y + 2y2 = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -12x + 2xy + xy2 + 4y + 2y2 = 0 + 24 -12x + 2xy + xy2 + 4y + 2y2 = 0 + 24 Combine like terms: 0 + 24 = 24 -12x + 2xy + xy2 + 4y + 2y2 = 24 Add '-4y' to each side of the equation. -12x + 2xy + xy2 + 4y + -4y + 2y2 = 24 + -4y Combine like terms: 4y + -4y = 0 -12x + 2xy + xy2 + 0 + 2y2 = 24 + -4y -12x + 2xy + xy2 + 2y2 = 24 + -4y Add '-2y2' to each side of the equation. -12x + 2xy + xy2 + 2y2 + -2y2 = 24 + -4y + -2y2 Combine like terms: 2y2 + -2y2 = 0 -12x + 2xy + xy2 + 0 = 24 + -4y + -2y2 -12x + 2xy + xy2 = 24 + -4y + -2y2 Reorder the terms: -24 + -12x + 2xy + xy2 + 4y + 2y2 = 24 + -4y + -2y2 + -24 + 4y + 2y2 Reorder the terms: -24 + -12x + 2xy + xy2 + 4y + 2y2 = 24 + -24 + -4y + 4y + -2y2 + 2y2 Combine like terms: 24 + -24 = 0 -24 + -12x + 2xy + xy2 + 4y + 2y2 = 0 + -4y + 4y + -2y2 + 2y2 -24 + -12x + 2xy + xy2 + 4y + 2y2 = -4y + 4y + -2y2 + 2y2 Combine like terms: -4y + 4y = 0 -24 + -12x + 2xy + xy2 + 4y + 2y2 = 0 + -2y2 + 2y2 -24 + -12x + 2xy + xy2 + 4y + 2y2 = -2y2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 -24 + -12x + 2xy + xy2 + 4y + 2y2 = 0 The solution to this equation could not be determined.
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