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Simplifying 4h2 + 16h + 17 = 0 Reorder the terms: 17 + 16h + 4h2 = 0 Solving 17 + 16h + 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'. 4.25 + 4h + h2 = 0 Move the constant term to the right: Add '-4.25' to each side of the equation. 4.25 + 4h + -4.25 + h2 = 0 + -4.25 Reorder the terms: 4.25 + -4.25 + 4h + h2 = 0 + -4.25 Combine like terms: 4.25 + -4.25 = 0.00 0.00 + 4h + h2 = 0 + -4.25 4h + h2 = 0 + -4.25 Combine like terms: 0 + -4.25 = -4.25 4h + h2 = -4.25 The h term is 4h. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4h + 4 + h2 = -4.25 + 4 Reorder the terms: 4 + 4h + h2 = -4.25 + 4 Combine like terms: -4.25 + 4 = -0.25 4 + 4h + h2 = -0.25 Factor a perfect square on the left side: (h + 2)(h + 2) = -0.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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