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Simplifying 10h2 + 9h + 20 = 0 Reorder the terms: 20 + 9h + 10h2 = 0 Solving 20 + 9h + 10h2 = 0 Solving for variable 'h'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 2 + 0.9h + h2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 0.9h + -2 + h2 = 0 + -2 Reorder the terms: 2 + -2 + 0.9h + h2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 0.9h + h2 = 0 + -2 0.9h + h2 = 0 + -2 Combine like terms: 0 + -2 = -2 0.9h + h2 = -2 The h term is 0.9h. 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. 0.9h + 0.2025 + h2 = -2 + 0.2025 Reorder the terms: 0.2025 + 0.9h + h2 = -2 + 0.2025 Combine like terms: -2 + 0.2025 = -1.7975 0.2025 + 0.9h + h2 = -1.7975 Factor a perfect square on the left side: (h + 0.45)(h + 0.45) = -1.7975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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