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Simplifying (5x + -2)(x + 6)(3x + -4) = 0 Reorder the terms: (-2 + 5x)(x + 6)(3x + -4) = 0 Reorder the terms: (-2 + 5x)(6 + x)(3x + -4) = 0 Reorder the terms: (-2 + 5x)(6 + x)(-4 + 3x) = 0 Multiply (-2 + 5x) * (6 + x) (-2(6 + x) + 5x * (6 + x))(-4 + 3x) = 0 ((6 * -2 + x * -2) + 5x * (6 + x))(-4 + 3x) = 0 ((-12 + -2x) + 5x * (6 + x))(-4 + 3x) = 0 (-12 + -2x + (6 * 5x + x * 5x))(-4 + 3x) = 0 (-12 + -2x + (30x + 5x2))(-4 + 3x) = 0 Combine like terms: -2x + 30x = 28x (-12 + 28x + 5x2)(-4 + 3x) = 0 Multiply (-12 + 28x + 5x2) * (-4 + 3x) (-12(-4 + 3x) + 28x * (-4 + 3x) + 5x2 * (-4 + 3x)) = 0 ((-4 * -12 + 3x * -12) + 28x * (-4 + 3x) + 5x2 * (-4 + 3x)) = 0 ((48 + -36x) + 28x * (-4 + 3x) + 5x2 * (-4 + 3x)) = 0 (48 + -36x + (-4 * 28x + 3x * 28x) + 5x2 * (-4 + 3x)) = 0 (48 + -36x + (-112x + 84x2) + 5x2 * (-4 + 3x)) = 0 (48 + -36x + -112x + 84x2 + (-4 * 5x2 + 3x * 5x2)) = 0 (48 + -36x + -112x + 84x2 + (-20x2 + 15x3)) = 0 Combine like terms: -36x + -112x = -148x (48 + -148x + 84x2 + -20x2 + 15x3) = 0 Combine like terms: 84x2 + -20x2 = 64x2 (48 + -148x + 64x2 + 15x3) = 0 Solving 48 + -148x + 64x2 + 15x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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