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Simplifying 8x2 + 14x + 49 = 0 Reorder the terms: 49 + 14x + 8x2 = 0 Solving 49 + 14x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 6.125 + 1.75x + x2 = 0 Move the constant term to the right: Add '-6.125' to each side of the equation. 6.125 + 1.75x + -6.125 + x2 = 0 + -6.125 Reorder the terms: 6.125 + -6.125 + 1.75x + x2 = 0 + -6.125 Combine like terms: 6.125 + -6.125 = 0.000 0.000 + 1.75x + x2 = 0 + -6.125 1.75x + x2 = 0 + -6.125 Combine like terms: 0 + -6.125 = -6.125 1.75x + x2 = -6.125 The x term is 1.75x. Take half its coefficient (0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. 1.75x + 0.765625 + x2 = -6.125 + 0.765625 Reorder the terms: 0.765625 + 1.75x + x2 = -6.125 + 0.765625 Combine like terms: -6.125 + 0.765625 = -5.359375 0.765625 + 1.75x + x2 = -5.359375 Factor a perfect square on the left side: (x + 0.875)(x + 0.875) = -5.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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