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Simplifying 64x2 + -11x + 49 = 5x + 4 Reorder the terms: 49 + -11x + 64x2 = 5x + 4 Reorder the terms: 49 + -11x + 64x2 = 4 + 5x Solving 49 + -11x + 64x2 = 4 + 5x Solving for variable 'x'. Reorder the terms: 49 + -4 + -11x + -5x + 64x2 = 4 + 5x + -4 + -5x Combine like terms: 49 + -4 = 45 45 + -11x + -5x + 64x2 = 4 + 5x + -4 + -5x Combine like terms: -11x + -5x = -16x 45 + -16x + 64x2 = 4 + 5x + -4 + -5x Reorder the terms: 45 + -16x + 64x2 = 4 + -4 + 5x + -5x Combine like terms: 4 + -4 = 0 45 + -16x + 64x2 = 0 + 5x + -5x 45 + -16x + 64x2 = 5x + -5x Combine like terms: 5x + -5x = 0 45 + -16x + 64x2 = 0 Begin completing the square. Divide all terms by 64 the coefficient of the squared term: Divide each side by '64'. 0.703125 + -0.25x + x2 = 0 Move the constant term to the right: Add '-0.703125' to each side of the equation. 0.703125 + -0.25x + -0.703125 + x2 = 0 + -0.703125 Reorder the terms: 0.703125 + -0.703125 + -0.25x + x2 = 0 + -0.703125 Combine like terms: 0.703125 + -0.703125 = 0.000000 0.000000 + -0.25x + x2 = 0 + -0.703125 -0.25x + x2 = 0 + -0.703125 Combine like terms: 0 + -0.703125 = -0.703125 -0.25x + x2 = -0.703125 The x term is -0.25x. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25x + 0.015625 + x2 = -0.703125 + 0.015625 Reorder the terms: 0.015625 + -0.25x + x2 = -0.703125 + 0.015625 Combine like terms: -0.703125 + 0.015625 = -0.6875 0.015625 + -0.25x + x2 = -0.6875 Factor a perfect square on the left side: (x + -0.125)(x + -0.125) = -0.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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