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Simplifying 9h2 + h + 4 = 0 Reorder the terms: 4 + h + 9h2 = 0 Solving 4 + h + 9h2 = 0 Solving for variable 'h'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.4444444444 + 0.1111111111h + h2 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + 0.1111111111h + -0.4444444444 + h2 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + 0.1111111111h + h2 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + 0.1111111111h + h2 = 0 + -0.4444444444 0.1111111111h + h2 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 0.1111111111h + h2 = -0.4444444444 The h term is h. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.1111111111h + 0.25 + h2 = -0.4444444444 + 0.25 Reorder the terms: 0.25 + 0.1111111111h + h2 = -0.4444444444 + 0.25 Combine like terms: -0.4444444444 + 0.25 = -0.1944444444 0.25 + 0.1111111111h + h2 = -0.1944444444 Factor a perfect square on the left side: (h + 0.5)(h + 0.5) = -0.1944444444 Can't calculate square root of the right side. The solution to this equation could not be determined.
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