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Simplifying (3x + -4)(5x + 2)(-3x + -4)(-3 + 2x) = 0 Reorder the terms: (-4 + 3x)(5x + 2)(-3x + -4)(-3 + 2x) = 0 Reorder the terms: (-4 + 3x)(2 + 5x)(-3x + -4)(-3 + 2x) = 0 Reorder the terms: (-4 + 3x)(2 + 5x)(-4 + -3x)(-3 + 2x) = 0 Multiply (-4 + 3x) * (2 + 5x) (-4(2 + 5x) + 3x * (2 + 5x))(-4 + -3x)(-3 + 2x) = 0 ((2 * -4 + 5x * -4) + 3x * (2 + 5x))(-4 + -3x)(-3 + 2x) = 0 ((-8 + -20x) + 3x * (2 + 5x))(-4 + -3x)(-3 + 2x) = 0 (-8 + -20x + (2 * 3x + 5x * 3x))(-4 + -3x)(-3 + 2x) = 0 (-8 + -20x + (6x + 15x2))(-4 + -3x)(-3 + 2x) = 0 Combine like terms: -20x + 6x = -14x (-8 + -14x + 15x2)(-4 + -3x)(-3 + 2x) = 0 Multiply (-8 + -14x + 15x2) * (-4 + -3x) (-8(-4 + -3x) + -14x * (-4 + -3x) + 15x2 * (-4 + -3x))(-3 + 2x) = 0 ((-4 * -8 + -3x * -8) + -14x * (-4 + -3x) + 15x2 * (-4 + -3x))(-3 + 2x) = 0 ((32 + 24x) + -14x * (-4 + -3x) + 15x2 * (-4 + -3x))(-3 + 2x) = 0 (32 + 24x + (-4 * -14x + -3x * -14x) + 15x2 * (-4 + -3x))(-3 + 2x) = 0 (32 + 24x + (56x + 42x2) + 15x2 * (-4 + -3x))(-3 + 2x) = 0 (32 + 24x + 56x + 42x2 + (-4 * 15x2 + -3x * 15x2))(-3 + 2x) = 0 (32 + 24x + 56x + 42x2 + (-60x2 + -45x3))(-3 + 2x) = 0 Combine like terms: 24x + 56x = 80x (32 + 80x + 42x2 + -60x2 + -45x3)(-3 + 2x) = 0 Combine like terms: 42x2 + -60x2 = -18x2 (32 + 80x + -18x2 + -45x3)(-3 + 2x) = 0 Multiply (32 + 80x + -18x2 + -45x3) * (-3 + 2x) (32(-3 + 2x) + 80x * (-3 + 2x) + -18x2 * (-3 + 2x) + -45x3 * (-3 + 2x)) = 0 ((-3 * 32 + 2x * 32) + 80x * (-3 + 2x) + -18x2 * (-3 + 2x) + -45x3 * (-3 + 2x)) = 0 ((-96 + 64x) + 80x * (-3 + 2x) + -18x2 * (-3 + 2x) + -45x3 * (-3 + 2x)) = 0 (-96 + 64x + (-3 * 80x + 2x * 80x) + -18x2 * (-3 + 2x) + -45x3 * (-3 + 2x)) = 0 (-96 + 64x + (-240x + 160x2) + -18x2 * (-3 + 2x) + -45x3 * (-3 + 2x)) = 0 (-96 + 64x + -240x + 160x2 + (-3 * -18x2 + 2x * -18x2) + -45x3 * (-3 + 2x)) = 0 (-96 + 64x + -240x + 160x2 + (54x2 + -36x3) + -45x3 * (-3 + 2x)) = 0 (-96 + 64x + -240x + 160x2 + 54x2 + -36x3 + (-3 * -45x3 + 2x * -45x3)) = 0 (-96 + 64x + -240x + 160x2 + 54x2 + -36x3 + (135x3 + -90x4)) = 0 Combine like terms: 64x + -240x = -176x (-96 + -176x + 160x2 + 54x2 + -36x3 + 135x3 + -90x4) = 0 Combine like terms: 160x2 + 54x2 = 214x2 (-96 + -176x + 214x2 + -36x3 + 135x3 + -90x4) = 0 Combine like terms: -36x3 + 135x3 = 99x3 (-96 + -176x + 214x2 + 99x3 + -90x4) = 0 Solving -96 + -176x + 214x2 + 99x3 + -90x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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