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Simplifying (7x + 6u + 7)(x + -3) = 0 Reorder the terms: (7 + 6u + 7x)(x + -3) = 0 Reorder the terms: (7 + 6u + 7x)(-3 + x) = 0 Multiply (7 + 6u + 7x) * (-3 + x) (7(-3 + x) + 6u * (-3 + x) + 7x * (-3 + x)) = 0 ((-3 * 7 + x * 7) + 6u * (-3 + x) + 7x * (-3 + x)) = 0 ((-21 + 7x) + 6u * (-3 + x) + 7x * (-3 + x)) = 0 (-21 + 7x + (-3 * 6u + x * 6u) + 7x * (-3 + x)) = 0 (-21 + 7x + (-18u + 6ux) + 7x * (-3 + x)) = 0 (-21 + 7x + -18u + 6ux + (-3 * 7x + x * 7x)) = 0 (-21 + 7x + -18u + 6ux + (-21x + 7x2)) = 0 Reorder the terms: (-21 + -18u + 6ux + 7x + -21x + 7x2) = 0 Combine like terms: 7x + -21x = -14x (-21 + -18u + 6ux + -14x + 7x2) = 0 Solving -21 + -18u + 6ux + -14x + 7x2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '21' to each side of the equation. -21 + -18u + 6ux + -14x + 21 + 7x2 = 0 + 21 Reorder the terms: -21 + 21 + -18u + 6ux + -14x + 7x2 = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -18u + 6ux + -14x + 7x2 = 0 + 21 -18u + 6ux + -14x + 7x2 = 0 + 21 Combine like terms: 0 + 21 = 21 -18u + 6ux + -14x + 7x2 = 21 Add '14x' to each side of the equation. -18u + 6ux + -14x + 14x + 7x2 = 21 + 14x Combine like terms: -14x + 14x = 0 -18u + 6ux + 0 + 7x2 = 21 + 14x -18u + 6ux + 7x2 = 21 + 14x Add '-7x2' to each side of the equation. -18u + 6ux + 7x2 + -7x2 = 21 + 14x + -7x2 Combine like terms: 7x2 + -7x2 = 0 -18u + 6ux + 0 = 21 + 14x + -7x2 -18u + 6ux = 21 + 14x + -7x2 Reorder the terms: -21 + -18u + 6ux + -14x + 7x2 = 21 + 14x + -7x2 + -21 + -14x + 7x2 Reorder the terms: -21 + -18u + 6ux + -14x + 7x2 = 21 + -21 + 14x + -14x + -7x2 + 7x2 Combine like terms: 21 + -21 = 0 -21 + -18u + 6ux + -14x + 7x2 = 0 + 14x + -14x + -7x2 + 7x2 -21 + -18u + 6ux + -14x + 7x2 = 14x + -14x + -7x2 + 7x2 Combine like terms: 14x + -14x = 0 -21 + -18u + 6ux + -14x + 7x2 = 0 + -7x2 + 7x2 -21 + -18u + 6ux + -14x + 7x2 = -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 -21 + -18u + 6ux + -14x + 7x2 = 0 The solution to this equation could not be determined.
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