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Simplifying (-2x + -3 + 8x2)(1 + 4x) = 0 Reorder the terms: (-3 + -2x + 8x2)(1 + 4x) = 0 Multiply (-3 + -2x + 8x2) * (1 + 4x) (-3(1 + 4x) + -2x * (1 + 4x) + 8x2 * (1 + 4x)) = 0 ((1 * -3 + 4x * -3) + -2x * (1 + 4x) + 8x2 * (1 + 4x)) = 0 ((-3 + -12x) + -2x * (1 + 4x) + 8x2 * (1 + 4x)) = 0 (-3 + -12x + (1 * -2x + 4x * -2x) + 8x2 * (1 + 4x)) = 0 (-3 + -12x + (-2x + -8x2) + 8x2 * (1 + 4x)) = 0 (-3 + -12x + -2x + -8x2 + (1 * 8x2 + 4x * 8x2)) = 0 (-3 + -12x + -2x + -8x2 + (8x2 + 32x3)) = 0 Combine like terms: -12x + -2x = -14x (-3 + -14x + -8x2 + 8x2 + 32x3) = 0 Combine like terms: -8x2 + 8x2 = 0 (-3 + -14x + 0 + 32x3) = 0 (-3 + -14x + 32x3) = 0 Solving -3 + -14x + 32x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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