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Simplifying 9h2 + 108h + 434 = 0 Reorder the terms: 434 + 108h + 9h2 = 0 Solving 434 + 108h + 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'. 48.22222222 + 12h + h2 = 0 Move the constant term to the right: Add '-48.22222222' to each side of the equation. 48.22222222 + 12h + -48.22222222 + h2 = 0 + -48.22222222 Reorder the terms: 48.22222222 + -48.22222222 + 12h + h2 = 0 + -48.22222222 Combine like terms: 48.22222222 + -48.22222222 = 0.00000000 0.00000000 + 12h + h2 = 0 + -48.22222222 12h + h2 = 0 + -48.22222222 Combine like terms: 0 + -48.22222222 = -48.22222222 12h + h2 = -48.22222222 The h term is 12h. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12h + 36 + h2 = -48.22222222 + 36 Reorder the terms: 36 + 12h + h2 = -48.22222222 + 36 Combine like terms: -48.22222222 + 36 = -12.22222222 36 + 12h + h2 = -12.22222222 Factor a perfect square on the left side: (h + 6)(h + 6) = -12.22222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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