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Simplifying (x + 3)(5x + -4)(2x + 1) = 0 Reorder the terms: (3 + x)(5x + -4)(2x + 1) = 0 Reorder the terms: (3 + x)(-4 + 5x)(2x + 1) = 0 Reorder the terms: (3 + x)(-4 + 5x)(1 + 2x) = 0 Multiply (3 + x) * (-4 + 5x) (3(-4 + 5x) + x(-4 + 5x))(1 + 2x) = 0 ((-4 * 3 + 5x * 3) + x(-4 + 5x))(1 + 2x) = 0 ((-12 + 15x) + x(-4 + 5x))(1 + 2x) = 0 (-12 + 15x + (-4 * x + 5x * x))(1 + 2x) = 0 (-12 + 15x + (-4x + 5x2))(1 + 2x) = 0 Combine like terms: 15x + -4x = 11x (-12 + 11x + 5x2)(1 + 2x) = 0 Multiply (-12 + 11x + 5x2) * (1 + 2x) (-12(1 + 2x) + 11x * (1 + 2x) + 5x2 * (1 + 2x)) = 0 ((1 * -12 + 2x * -12) + 11x * (1 + 2x) + 5x2 * (1 + 2x)) = 0 ((-12 + -24x) + 11x * (1 + 2x) + 5x2 * (1 + 2x)) = 0 (-12 + -24x + (1 * 11x + 2x * 11x) + 5x2 * (1 + 2x)) = 0 (-12 + -24x + (11x + 22x2) + 5x2 * (1 + 2x)) = 0 (-12 + -24x + 11x + 22x2 + (1 * 5x2 + 2x * 5x2)) = 0 (-12 + -24x + 11x + 22x2 + (5x2 + 10x3)) = 0 Combine like terms: -24x + 11x = -13x (-12 + -13x + 22x2 + 5x2 + 10x3) = 0 Combine like terms: 22x2 + 5x2 = 27x2 (-12 + -13x + 27x2 + 10x3) = 0 Solving -12 + -13x + 27x2 + 10x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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