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Simplifying 20x2 + 18x + 21 = 0 Reorder the terms: 21 + 18x + 20x2 = 0 Solving 21 + 18x + 20x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 1.05 + 0.9x + x2 = 0 Move the constant term to the right: Add '-1.05' to each side of the equation. 1.05 + 0.9x + -1.05 + x2 = 0 + -1.05 Reorder the terms: 1.05 + -1.05 + 0.9x + x2 = 0 + -1.05 Combine like terms: 1.05 + -1.05 = 0.00 0.00 + 0.9x + x2 = 0 + -1.05 0.9x + x2 = 0 + -1.05 Combine like terms: 0 + -1.05 = -1.05 0.9x + x2 = -1.05 The x term is 0.9x. Take half its coefficient (0.45). Square it (0.2025) and add it to both sides. Add '0.2025' to each side of the equation. 0.9x + 0.2025 + x2 = -1.05 + 0.2025 Reorder the terms: 0.2025 + 0.9x + x2 = -1.05 + 0.2025 Combine like terms: -1.05 + 0.2025 = -0.8475 0.2025 + 0.9x + x2 = -0.8475 Factor a perfect square on the left side: (x + 0.45)(x + 0.45) = -0.8475 Can't calculate square root of the right side. The solution to this equation could not be determined.
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