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Simplifying 2x2 + 8x + 169 = 0 Reorder the terms: 169 + 8x + 2x2 = 0 Solving 169 + 8x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 84.5 + 4x + x2 = 0 Move the constant term to the right: Add '-84.5' to each side of the equation. 84.5 + 4x + -84.5 + x2 = 0 + -84.5 Reorder the terms: 84.5 + -84.5 + 4x + x2 = 0 + -84.5 Combine like terms: 84.5 + -84.5 = 0.0 0.0 + 4x + x2 = 0 + -84.5 4x + x2 = 0 + -84.5 Combine like terms: 0 + -84.5 = -84.5 4x + x2 = -84.5 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -84.5 + 4 Reorder the terms: 4 + 4x + x2 = -84.5 + 4 Combine like terms: -84.5 + 4 = -80.5 4 + 4x + x2 = -80.5 Factor a perfect square on the left side: (x + 2)(x + 2) = -80.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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