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Simplifying 0 = 8x2 + -45x + 64 Reorder the terms: 0 = 64 + -45x + 8x2 Solving 0 = 64 + -45x + 8x2 Solving for variable 'x'. Combine like terms: 0 + -64 = -64 -64 + 45x + -8x2 = 64 + -45x + 8x2 + -64 + 45x + -8x2 Reorder the terms: -64 + 45x + -8x2 = 64 + -64 + -45x + 45x + 8x2 + -8x2 Combine like terms: 64 + -64 = 0 -64 + 45x + -8x2 = 0 + -45x + 45x + 8x2 + -8x2 -64 + 45x + -8x2 = -45x + 45x + 8x2 + -8x2 Combine like terms: -45x + 45x = 0 -64 + 45x + -8x2 = 0 + 8x2 + -8x2 -64 + 45x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -64 + 45x + -8x2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 8 + -5.625x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -5.625x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -5.625x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5.625x + x2 = 0 + -8 -5.625x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -5.625x + x2 = -8 The x term is -5.625x. Take half its coefficient (-2.8125). Square it (7.91015625) and add it to both sides. Add '7.91015625' to each side of the equation. -5.625x + 7.91015625 + x2 = -8 + 7.91015625 Reorder the terms: 7.91015625 + -5.625x + x2 = -8 + 7.91015625 Combine like terms: -8 + 7.91015625 = -0.08984375 7.91015625 + -5.625x + x2 = -0.08984375 Factor a perfect square on the left side: (x + -2.8125)(x + -2.8125) = -0.08984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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