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Simplifying (6x + -2u + 3)(x + -6) = 0 Reorder the terms: (3 + -2u + 6x)(x + -6) = 0 Reorder the terms: (3 + -2u + 6x)(-6 + x) = 0 Multiply (3 + -2u + 6x) * (-6 + x) (3(-6 + x) + -2u * (-6 + x) + 6x * (-6 + x)) = 0 ((-6 * 3 + x * 3) + -2u * (-6 + x) + 6x * (-6 + x)) = 0 ((-18 + 3x) + -2u * (-6 + x) + 6x * (-6 + x)) = 0 (-18 + 3x + (-6 * -2u + x * -2u) + 6x * (-6 + x)) = 0 (-18 + 3x + (12u + -2ux) + 6x * (-6 + x)) = 0 (-18 + 3x + 12u + -2ux + (-6 * 6x + x * 6x)) = 0 (-18 + 3x + 12u + -2ux + (-36x + 6x2)) = 0 Reorder the terms: (-18 + 12u + -2ux + 3x + -36x + 6x2) = 0 Combine like terms: 3x + -36x = -33x (-18 + 12u + -2ux + -33x + 6x2) = 0 Solving -18 + 12u + -2ux + -33x + 6x2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 12u + -2ux + -33x + 18 + 6x2 = 0 + 18 Reorder the terms: -18 + 18 + 12u + -2ux + -33x + 6x2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 12u + -2ux + -33x + 6x2 = 0 + 18 12u + -2ux + -33x + 6x2 = 0 + 18 Combine like terms: 0 + 18 = 18 12u + -2ux + -33x + 6x2 = 18 Add '33x' to each side of the equation. 12u + -2ux + -33x + 33x + 6x2 = 18 + 33x Combine like terms: -33x + 33x = 0 12u + -2ux + 0 + 6x2 = 18 + 33x 12u + -2ux + 6x2 = 18 + 33x Add '-6x2' to each side of the equation. 12u + -2ux + 6x2 + -6x2 = 18 + 33x + -6x2 Combine like terms: 6x2 + -6x2 = 0 12u + -2ux + 0 = 18 + 33x + -6x2 12u + -2ux = 18 + 33x + -6x2 Reorder the terms: -18 + 12u + -2ux + -33x + 6x2 = 18 + 33x + -6x2 + -18 + -33x + 6x2 Reorder the terms: -18 + 12u + -2ux + -33x + 6x2 = 18 + -18 + 33x + -33x + -6x2 + 6x2 Combine like terms: 18 + -18 = 0 -18 + 12u + -2ux + -33x + 6x2 = 0 + 33x + -33x + -6x2 + 6x2 -18 + 12u + -2ux + -33x + 6x2 = 33x + -33x + -6x2 + 6x2 Combine like terms: 33x + -33x = 0 -18 + 12u + -2ux + -33x + 6x2 = 0 + -6x2 + 6x2 -18 + 12u + -2ux + -33x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -18 + 12u + -2ux + -33x + 6x2 = 0 The solution to this equation could not be determined.
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