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Simplifying 4h2 + 44h + 6521 = 0 Reorder the terms: 6521 + 44h + 4h2 = 0 Solving 6521 + 44h + 4h2 = 0 Solving for variable 'h'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1630.25 + 11h + h2 = 0 Move the constant term to the right: Add '-1630.25' to each side of the equation. 1630.25 + 11h + -1630.25 + h2 = 0 + -1630.25 Reorder the terms: 1630.25 + -1630.25 + 11h + h2 = 0 + -1630.25 Combine like terms: 1630.25 + -1630.25 = 0.00 0.00 + 11h + h2 = 0 + -1630.25 11h + h2 = 0 + -1630.25 Combine like terms: 0 + -1630.25 = -1630.25 11h + h2 = -1630.25 The h term is 11h. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11h + 30.25 + h2 = -1630.25 + 30.25 Reorder the terms: 30.25 + 11h + h2 = -1630.25 + 30.25 Combine like terms: -1630.25 + 30.25 = -1600 30.25 + 11h + h2 = -1600 Factor a perfect square on the left side: (h + 5.5)(h + 5.5) = -1600 Can't calculate square root of the right side. The solution to this equation could not be determined.
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