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Simplifying 4x2 + 20x + 25 = -18 Reorder the terms: 25 + 20x + 4x2 = -18 Solving 25 + 20x + 4x2 = -18 Solving for variable 'x'. Reorder the terms: 25 + 18 + 20x + 4x2 = -18 + 18 Combine like terms: 25 + 18 = 43 43 + 20x + 4x2 = -18 + 18 Combine like terms: -18 + 18 = 0 43 + 20x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 10.75 + 5x + x2 = 0 Move the constant term to the right: Add '-10.75' to each side of the equation. 10.75 + 5x + -10.75 + x2 = 0 + -10.75 Reorder the terms: 10.75 + -10.75 + 5x + x2 = 0 + -10.75 Combine like terms: 10.75 + -10.75 = 0.00 0.00 + 5x + x2 = 0 + -10.75 5x + x2 = 0 + -10.75 Combine like terms: 0 + -10.75 = -10.75 5x + x2 = -10.75 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = -10.75 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -10.75 + 6.25 Combine like terms: -10.75 + 6.25 = -4.5 6.25 + 5x + x2 = -4.5 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -4.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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