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Simplifying (5x + -3)(2x + 6u + -3) = 0 Reorder the terms: (-3 + 5x)(2x + 6u + -3) = 0 Reorder the terms: (-3 + 5x)(-3 + 6u + 2x) = 0 Multiply (-3 + 5x) * (-3 + 6u + 2x) (-3(-3 + 6u + 2x) + 5x * (-3 + 6u + 2x)) = 0 ((-3 * -3 + 6u * -3 + 2x * -3) + 5x * (-3 + 6u + 2x)) = 0 ((9 + -18u + -6x) + 5x * (-3 + 6u + 2x)) = 0 (9 + -18u + -6x + (-3 * 5x + 6u * 5x + 2x * 5x)) = 0 Reorder the terms: (9 + -18u + -6x + (30ux + -15x + 10x2)) = 0 (9 + -18u + -6x + (30ux + -15x + 10x2)) = 0 Reorder the terms: (9 + -18u + 30ux + -6x + -15x + 10x2) = 0 Combine like terms: -6x + -15x = -21x (9 + -18u + 30ux + -21x + 10x2) = 0 Solving 9 + -18u + 30ux + -21x + 10x2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -18u + 30ux + -21x + -9 + 10x2 = 0 + -9 Reorder the terms: 9 + -9 + -18u + 30ux + -21x + 10x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -18u + 30ux + -21x + 10x2 = 0 + -9 -18u + 30ux + -21x + 10x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -18u + 30ux + -21x + 10x2 = -9 Add '21x' to each side of the equation. -18u + 30ux + -21x + 21x + 10x2 = -9 + 21x Combine like terms: -21x + 21x = 0 -18u + 30ux + 0 + 10x2 = -9 + 21x -18u + 30ux + 10x2 = -9 + 21x Add '-10x2' to each side of the equation. -18u + 30ux + 10x2 + -10x2 = -9 + 21x + -10x2 Combine like terms: 10x2 + -10x2 = 0 -18u + 30ux + 0 = -9 + 21x + -10x2 -18u + 30ux = -9 + 21x + -10x2 Reorder the terms: 9 + -18u + 30ux + -21x + 10x2 = -9 + 21x + -10x2 + 9 + -21x + 10x2 Reorder the terms: 9 + -18u + 30ux + -21x + 10x2 = -9 + 9 + 21x + -21x + -10x2 + 10x2 Combine like terms: -9 + 9 = 0 9 + -18u + 30ux + -21x + 10x2 = 0 + 21x + -21x + -10x2 + 10x2 9 + -18u + 30ux + -21x + 10x2 = 21x + -21x + -10x2 + 10x2 Combine like terms: 21x + -21x = 0 9 + -18u + 30ux + -21x + 10x2 = 0 + -10x2 + 10x2 9 + -18u + 30ux + -21x + 10x2 = -10x2 + 10x2 Combine like terms: -10x2 + 10x2 = 0 9 + -18u + 30ux + -21x + 10x2 = 0 The solution to this equation could not be determined.
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