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Simplifying (a4 + u) * x2 + -1(u4 + -2u)(x + -1) = 12 Reorder the terms for easier multiplication: x2(a4 + u) + -1(u4 + -2u)(x + -1) = 12 (a4 * x2 + u * x2) + -1(u4 + -2u)(x + -1) = 12 (a4x2 + ux2) + -1(u4 + -2u)(x + -1) = 12 Reorder the terms: a4x2 + ux2 + -1(-2u + u4)(x + -1) = 12 Reorder the terms: a4x2 + ux2 + -1(-2u + u4)(-1 + x) = 12 Multiply (-2u + u4) * (-1 + x) a4x2 + ux2 + -1(-2u * (-1 + x) + u4(-1 + x)) = 12 a4x2 + ux2 + -1((-1 * -2u + x * -2u) + u4(-1 + x)) = 12 a4x2 + ux2 + -1((2u + -2ux) + u4(-1 + x)) = 12 a4x2 + ux2 + -1(2u + -2ux + (-1 * u4 + x * u4)) = 12 a4x2 + ux2 + -1(2u + -2ux + (-1u4 + u4x)) = 12 a4x2 + ux2 + -1(2u + -2ux + -1u4 + u4x) = 12 a4x2 + ux2 + (2u * -1 + -2ux * -1 + -1u4 * -1 + u4x * -1) = 12 a4x2 + ux2 + (-2u + 2ux + 1u4 + -1u4x) = 12 Reorder the terms: a4x2 + -2u + 2ux + ux2 + 1u4 + -1u4x = 12 Solving a4x2 + -2u + 2ux + ux2 + 1u4 + -1u4x = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2u' to each side of the equation. a4x2 + -2u + 2ux + ux2 + 1u4 + 2u + -1u4x = 12 + 2u Reorder the terms: a4x2 + -2u + 2u + 2ux + ux2 + 1u4 + -1u4x = 12 + 2u Combine like terms: -2u + 2u = 0 a4x2 + 0 + 2ux + ux2 + 1u4 + -1u4x = 12 + 2u a4x2 + 2ux + ux2 + 1u4 + -1u4x = 12 + 2u Add '-2ux' to each side of the equation. a4x2 + 2ux + ux2 + 1u4 + -2ux + -1u4x = 12 + 2u + -2ux Reorder the terms: a4x2 + 2ux + -2ux + ux2 + 1u4 + -1u4x = 12 + 2u + -2ux Combine like terms: 2ux + -2ux = 0 a4x2 + 0 + ux2 + 1u4 + -1u4x = 12 + 2u + -2ux a4x2 + ux2 + 1u4 + -1u4x = 12 + 2u + -2ux Add '-1ux2' to each side of the equation. a4x2 + ux2 + 1u4 + -1ux2 + -1u4x = 12 + 2u + -2ux + -1ux2 Reorder the terms: a4x2 + ux2 + -1ux2 + 1u4 + -1u4x = 12 + 2u + -2ux + -1ux2 Combine like terms: ux2 + -1ux2 = 0 a4x2 + 0 + 1u4 + -1u4x = 12 + 2u + -2ux + -1ux2 a4x2 + 1u4 + -1u4x = 12 + 2u + -2ux + -1ux2 Add '-1u4' to each side of the equation. a4x2 + 1u4 + -1u4 + -1u4x = 12 + 2u + -2ux + -1ux2 + -1u4 Combine like terms: 1u4 + -1u4 = 0 a4x2 + 0 + -1u4x = 12 + 2u + -2ux + -1ux2 + -1u4 a4x2 + -1u4x = 12 + 2u + -2ux + -1ux2 + -1u4 Add 'u4x' to each side of the equation. a4x2 + -1u4x + u4x = 12 + 2u + -2ux + -1ux2 + -1u4 + u4x Combine like terms: -1u4x + u4x = 0 a4x2 + 0 = 12 + 2u + -2ux + -1ux2 + -1u4 + u4x a4x2 = 12 + 2u + -2ux + -1ux2 + -1u4 + u4x Divide each side by 'x2'. a4 = 12x-2 + 2ux-2 + -2ux-1 + -1u + -1u4x-2 + u4x-1 Simplifying a4 = 12x-2 + 2ux-2 + -2ux-1 + -1u + -1u4x-2 + u4x-1 Reorder the terms: a4 = -1u + 2ux-2 + -2ux-1 + -1u4x-2 + u4x-1 + 12x-2 Reorder the terms: a4 + u + -2ux-2 + 2ux-1 + u4x-2 + -1u4x-1 + -12x-2 = -1u + u + 2ux-2 + -2ux-2 + -2ux-1 + 2ux-1 + -1u4x-2 + u4x-2 + u4x-1 + -1u4x-1 + 12x-2 + -12x-2 Combine like terms: -1u + u = 0 a4 + u + -2ux-2 + 2ux-1 + u4x-2 + -1u4x-1 + -12x-2 = 0 + 2ux-2 + -2ux-2 + -2ux-1 + 2ux-1 + -1u4x-2 + u4x-2 + u4x-1 + -1u4x-1 + 12x-2 + -12x-2 a4 + u + -2ux-2 + 2ux-1 + u4x-2 + -1u4x-1 + -12x-2 = 2ux-2 + -2ux-2 + -2ux-1 + 2ux-1 + -1u4x-2 + u4x-2 + u4x-1 + -1u4x-1 + 12x-2 + -12x-2 Combine like terms: 2ux-2 + -2ux-2 = 0 a4 + u + -2ux-2 + 2ux-1 + u4x-2 + -1u4x-1 + -12x-2 = 0 + -2ux-1 + 2ux-1 + -1u4x-2 + u4x-2 + u4x-1 + -1u4x-1 + 12x-2 + -12x-2 a4 + u + -2ux-2 + 2ux-1 + u4x-2 + -1u4x-1 + -12x-2 = -2ux-1 + 2ux-1 + -1u4x-2 + u4x-2 + u4x-1 + -1u4x-1 + 12x-2 + -12x-2 Combine like terms: -2ux-1 + 2ux-1 = 0 a4 + u + -2ux-2 + 2ux-1 + u4x-2 + -1u4x-1 + -12x-2 = 0 + -1u4x-2 + u4x-2 + u4x-1 + -1u4x-1 + 12x-2 + -12x-2 a4 + u + -2ux-2 + 2ux-1 + u4x-2 + -1u4x-1 + -12x-2 = -1u4x-2 + u4x-2 + u4x-1 + -1u4x-1 + 12x-2 + -12x-2 Combine like terms: -1u4x-2 + u4x-2 = 0 a4 + u + -2ux-2 + 2ux-1 + u4x-2 + -1u4x-1 + -12x-2 = 0 + u4x-1 + -1u4x-1 + 12x-2 + -12x-2 a4 + u + -2ux-2 + 2ux-1 + u4x-2 + -1u4x-1 + -12x-2 = u4x-1 + -1u4x-1 + 12x-2 + -12x-2 Combine like terms: u4x-1 + -1u4x-1 = 0 a4 + u + -2ux-2 + 2ux-1 + u4x-2 + -1u4x-1 + -12x-2 = 0 + 12x-2 + -12x-2 a4 + u + -2ux-2 + 2ux-1 + u4x-2 + -1u4x-1 + -12x-2 = 12x-2 + -12x-2 Combine like terms: 12x-2 + -12x-2 = 0 a4 + u + -2ux-2 + 2ux-1 + u4x-2 + -1u4x-1 + -12x-2 = 0 The solution to this equation could not be determined.
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