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Simplifying (2x + -1)(x + 2)(3x + -1)(5x + -4) = 0 Reorder the terms: (-1 + 2x)(x + 2)(3x + -1)(5x + -4) = 0 Reorder the terms: (-1 + 2x)(2 + x)(3x + -1)(5x + -4) = 0 Reorder the terms: (-1 + 2x)(2 + x)(-1 + 3x)(5x + -4) = 0 Reorder the terms: (-1 + 2x)(2 + x)(-1 + 3x)(-4 + 5x) = 0 Multiply (-1 + 2x) * (2 + x) (-1(2 + x) + 2x * (2 + x))(-1 + 3x)(-4 + 5x) = 0 ((2 * -1 + x * -1) + 2x * (2 + x))(-1 + 3x)(-4 + 5x) = 0 ((-2 + -1x) + 2x * (2 + x))(-1 + 3x)(-4 + 5x) = 0 (-2 + -1x + (2 * 2x + x * 2x))(-1 + 3x)(-4 + 5x) = 0 (-2 + -1x + (4x + 2x2))(-1 + 3x)(-4 + 5x) = 0 Combine like terms: -1x + 4x = 3x (-2 + 3x + 2x2)(-1 + 3x)(-4 + 5x) = 0 Multiply (-2 + 3x + 2x2) * (-1 + 3x) (-2(-1 + 3x) + 3x * (-1 + 3x) + 2x2 * (-1 + 3x))(-4 + 5x) = 0 ((-1 * -2 + 3x * -2) + 3x * (-1 + 3x) + 2x2 * (-1 + 3x))(-4 + 5x) = 0 ((2 + -6x) + 3x * (-1 + 3x) + 2x2 * (-1 + 3x))(-4 + 5x) = 0 (2 + -6x + (-1 * 3x + 3x * 3x) + 2x2 * (-1 + 3x))(-4 + 5x) = 0 (2 + -6x + (-3x + 9x2) + 2x2 * (-1 + 3x))(-4 + 5x) = 0 (2 + -6x + -3x + 9x2 + (-1 * 2x2 + 3x * 2x2))(-4 + 5x) = 0 (2 + -6x + -3x + 9x2 + (-2x2 + 6x3))(-4 + 5x) = 0 Combine like terms: -6x + -3x = -9x (2 + -9x + 9x2 + -2x2 + 6x3)(-4 + 5x) = 0 Combine like terms: 9x2 + -2x2 = 7x2 (2 + -9x + 7x2 + 6x3)(-4 + 5x) = 0 Multiply (2 + -9x + 7x2 + 6x3) * (-4 + 5x) (2(-4 + 5x) + -9x * (-4 + 5x) + 7x2 * (-4 + 5x) + 6x3 * (-4 + 5x)) = 0 ((-4 * 2 + 5x * 2) + -9x * (-4 + 5x) + 7x2 * (-4 + 5x) + 6x3 * (-4 + 5x)) = 0 ((-8 + 10x) + -9x * (-4 + 5x) + 7x2 * (-4 + 5x) + 6x3 * (-4 + 5x)) = 0 (-8 + 10x + (-4 * -9x + 5x * -9x) + 7x2 * (-4 + 5x) + 6x3 * (-4 + 5x)) = 0 (-8 + 10x + (36x + -45x2) + 7x2 * (-4 + 5x) + 6x3 * (-4 + 5x)) = 0 (-8 + 10x + 36x + -45x2 + (-4 * 7x2 + 5x * 7x2) + 6x3 * (-4 + 5x)) = 0 (-8 + 10x + 36x + -45x2 + (-28x2 + 35x3) + 6x3 * (-4 + 5x)) = 0 (-8 + 10x + 36x + -45x2 + -28x2 + 35x3 + (-4 * 6x3 + 5x * 6x3)) = 0 (-8 + 10x + 36x + -45x2 + -28x2 + 35x3 + (-24x3 + 30x4)) = 0 Combine like terms: 10x + 36x = 46x (-8 + 46x + -45x2 + -28x2 + 35x3 + -24x3 + 30x4) = 0 Combine like terms: -45x2 + -28x2 = -73x2 (-8 + 46x + -73x2 + 35x3 + -24x3 + 30x4) = 0 Combine like terms: 35x3 + -24x3 = 11x3 (-8 + 46x + -73x2 + 11x3 + 30x4) = 0 Solving -8 + 46x + -73x2 + 11x3 + 30x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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