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Simplifying 100h2 + 2h + 1 = 0 Reorder the terms: 1 + 2h + 100h2 = 0 Solving 1 + 2h + 100h2 = 0 Solving for variable 'h'. Begin completing the square. Divide all terms by 100 the coefficient of the squared term: Divide each side by '100'. 0.01 + 0.02h + h2 = 0 Move the constant term to the right: Add '-0.01' to each side of the equation. 0.01 + 0.02h + -0.01 + h2 = 0 + -0.01 Reorder the terms: 0.01 + -0.01 + 0.02h + h2 = 0 + -0.01 Combine like terms: 0.01 + -0.01 = 0.00 0.00 + 0.02h + h2 = 0 + -0.01 0.02h + h2 = 0 + -0.01 Combine like terms: 0 + -0.01 = -0.01 0.02h + h2 = -0.01 The h term is 0.02h. Take half its coefficient (0.01). Square it (0.0001) and add it to both sides. Add '0.0001' to each side of the equation. 0.02h + 0.0001 + h2 = -0.01 + 0.0001 Reorder the terms: 0.0001 + 0.02h + h2 = -0.01 + 0.0001 Combine like terms: -0.01 + 0.0001 = -0.0099 0.0001 + 0.02h + h2 = -0.0099 Factor a perfect square on the left side: (h + 0.01)(h + 0.01) = -0.0099 Can't calculate square root of the right side. The solution to this equation could not be determined.
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