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Simplifying 33x(8x + 3)(8x + -3) = 16x(2 + 4x) + 8 Reorder the terms: 33x(3 + 8x)(8x + -3) = 16x(2 + 4x) + 8 Reorder the terms: 33x(3 + 8x)(-3 + 8x) = 16x(2 + 4x) + 8 Multiply (3 + 8x) * (-3 + 8x) 33x(3(-3 + 8x) + 8x * (-3 + 8x)) = 16x(2 + 4x) + 8 33x((-3 * 3 + 8x * 3) + 8x * (-3 + 8x)) = 16x(2 + 4x) + 8 33x((-9 + 24x) + 8x * (-3 + 8x)) = 16x(2 + 4x) + 8 33x(-9 + 24x + (-3 * 8x + 8x * 8x)) = 16x(2 + 4x) + 8 33x(-9 + 24x + (-24x + 64x2)) = 16x(2 + 4x) + 8 Combine like terms: 24x + -24x = 0 33x(-9 + 0 + 64x2) = 16x(2 + 4x) + 8 33x(-9 + 64x2) = 16x(2 + 4x) + 8 (-9 * 33x + 64x2 * 33x) = 16x(2 + 4x) + 8 (-297x + 2112x3) = 16x(2 + 4x) + 8 -297x + 2112x3 = (2 * 16x + 4x * 16x) + 8 -297x + 2112x3 = (32x + 64x2) + 8 Reorder the terms: -297x + 2112x3 = 8 + 32x + 64x2 Solving -297x + 2112x3 = 8 + 32x + 64x2 Solving for variable 'x'. Reorder the terms: -8 + -297x + -32x + -64x2 + 2112x3 = 8 + 32x + 64x2 + -8 + -32x + -64x2 Combine like terms: -297x + -32x = -329x -8 + -329x + -64x2 + 2112x3 = 8 + 32x + 64x2 + -8 + -32x + -64x2 Reorder the terms: -8 + -329x + -64x2 + 2112x3 = 8 + -8 + 32x + -32x + 64x2 + -64x2 Combine like terms: 8 + -8 = 0 -8 + -329x + -64x2 + 2112x3 = 0 + 32x + -32x + 64x2 + -64x2 -8 + -329x + -64x2 + 2112x3 = 32x + -32x + 64x2 + -64x2 Combine like terms: 32x + -32x = 0 -8 + -329x + -64x2 + 2112x3 = 0 + 64x2 + -64x2 -8 + -329x + -64x2 + 2112x3 = 64x2 + -64x2 Combine like terms: 64x2 + -64x2 = 0 -8 + -329x + -64x2 + 2112x3 = 0 The solution to this equation could not be determined.
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