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Simplifying (3x + 7)(6x + -5u + -1) = 0 Reorder the terms: (7 + 3x)(6x + -5u + -1) = 0 Reorder the terms: (7 + 3x)(-1 + -5u + 6x) = 0 Multiply (7 + 3x) * (-1 + -5u + 6x) (7(-1 + -5u + 6x) + 3x * (-1 + -5u + 6x)) = 0 ((-1 * 7 + -5u * 7 + 6x * 7) + 3x * (-1 + -5u + 6x)) = 0 ((-7 + -35u + 42x) + 3x * (-1 + -5u + 6x)) = 0 (-7 + -35u + 42x + (-1 * 3x + -5u * 3x + 6x * 3x)) = 0 Reorder the terms: (-7 + -35u + 42x + (-15ux + -3x + 18x2)) = 0 (-7 + -35u + 42x + (-15ux + -3x + 18x2)) = 0 Reorder the terms: (-7 + -35u + -15ux + 42x + -3x + 18x2) = 0 Combine like terms: 42x + -3x = 39x (-7 + -35u + -15ux + 39x + 18x2) = 0 Solving -7 + -35u + -15ux + 39x + 18x2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -35u + -15ux + 39x + 7 + 18x2 = 0 + 7 Reorder the terms: -7 + 7 + -35u + -15ux + 39x + 18x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -35u + -15ux + 39x + 18x2 = 0 + 7 -35u + -15ux + 39x + 18x2 = 0 + 7 Combine like terms: 0 + 7 = 7 -35u + -15ux + 39x + 18x2 = 7 Add '-39x' to each side of the equation. -35u + -15ux + 39x + -39x + 18x2 = 7 + -39x Combine like terms: 39x + -39x = 0 -35u + -15ux + 0 + 18x2 = 7 + -39x -35u + -15ux + 18x2 = 7 + -39x Add '-18x2' to each side of the equation. -35u + -15ux + 18x2 + -18x2 = 7 + -39x + -18x2 Combine like terms: 18x2 + -18x2 = 0 -35u + -15ux + 0 = 7 + -39x + -18x2 -35u + -15ux = 7 + -39x + -18x2 Reorder the terms: -7 + -35u + -15ux + 39x + 18x2 = 7 + -39x + -18x2 + -7 + 39x + 18x2 Reorder the terms: -7 + -35u + -15ux + 39x + 18x2 = 7 + -7 + -39x + 39x + -18x2 + 18x2 Combine like terms: 7 + -7 = 0 -7 + -35u + -15ux + 39x + 18x2 = 0 + -39x + 39x + -18x2 + 18x2 -7 + -35u + -15ux + 39x + 18x2 = -39x + 39x + -18x2 + 18x2 Combine like terms: -39x + 39x = 0 -7 + -35u + -15ux + 39x + 18x2 = 0 + -18x2 + 18x2 -7 + -35u + -15ux + 39x + 18x2 = -18x2 + 18x2 Combine like terms: -18x2 + 18x2 = 0 -7 + -35u + -15ux + 39x + 18x2 = 0 The solution to this equation could not be determined.
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