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Simplifying 5x2 + 20x + 100 = 8 Reorder the terms: 100 + 20x + 5x2 = 8 Solving 100 + 20x + 5x2 = 8 Solving for variable 'x'. Reorder the terms: 100 + -8 + 20x + 5x2 = 8 + -8 Combine like terms: 100 + -8 = 92 92 + 20x + 5x2 = 8 + -8 Combine like terms: 8 + -8 = 0 92 + 20x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 18.4 + 4x + x2 = 0 Move the constant term to the right: Add '-18.4' to each side of the equation. 18.4 + 4x + -18.4 + x2 = 0 + -18.4 Reorder the terms: 18.4 + -18.4 + 4x + x2 = 0 + -18.4 Combine like terms: 18.4 + -18.4 = 0.0 0.0 + 4x + x2 = 0 + -18.4 4x + x2 = 0 + -18.4 Combine like terms: 0 + -18.4 = -18.4 4x + x2 = -18.4 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 = -18.4 + 4 Reorder the terms: 4 + 4x + x2 = -18.4 + 4 Combine like terms: -18.4 + 4 = -14.4 4 + 4x + x2 = -14.4 Factor a perfect square on the left side: (x + 2)(x + 2) = -14.4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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