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Simplifying (8x + 4)(8x + -4) = 64x + -163 Reorder the terms: (4 + 8x)(8x + -4) = 64x + -163 Reorder the terms: (4 + 8x)(-4 + 8x) = 64x + -163 Multiply (4 + 8x) * (-4 + 8x) (4(-4 + 8x) + 8x * (-4 + 8x)) = 64x + -163 ((-4 * 4 + 8x * 4) + 8x * (-4 + 8x)) = 64x + -163 ((-16 + 32x) + 8x * (-4 + 8x)) = 64x + -163 (-16 + 32x + (-4 * 8x + 8x * 8x)) = 64x + -163 (-16 + 32x + (-32x + 64x2)) = 64x + -163 Combine like terms: 32x + -32x = 0 (-16 + 0 + 64x2) = 64x + -163 (-16 + 64x2) = 64x + -163 Reorder the terms: -16 + 64x2 = -163 + 64x Solving -16 + 64x2 = -163 + 64x Solving for variable 'x'. Reorder the terms: -16 + 163 + -64x + 64x2 = -163 + 64x + 163 + -64x Combine like terms: -16 + 163 = 147 147 + -64x + 64x2 = -163 + 64x + 163 + -64x Reorder the terms: 147 + -64x + 64x2 = -163 + 163 + 64x + -64x Combine like terms: -163 + 163 = 0 147 + -64x + 64x2 = 0 + 64x + -64x 147 + -64x + 64x2 = 64x + -64x Combine like terms: 64x + -64x = 0 147 + -64x + 64x2 = 0 Begin completing the square. Divide all terms by 64 the coefficient of the squared term: Divide each side by '64'. 2.296875 + -1x + x2 = 0 Move the constant term to the right: Add '-2.296875' to each side of the equation. 2.296875 + -1x + -2.296875 + x2 = 0 + -2.296875 Reorder the terms: 2.296875 + -2.296875 + -1x + x2 = 0 + -2.296875 Combine like terms: 2.296875 + -2.296875 = 0.000000 0.000000 + -1x + x2 = 0 + -2.296875 -1x + x2 = 0 + -2.296875 Combine like terms: 0 + -2.296875 = -2.296875 -1x + x2 = -2.296875 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -2.296875 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -2.296875 + 0.25 Combine like terms: -2.296875 + 0.25 = -2.046875 0.25 + -1x + x2 = -2.046875 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -2.046875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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