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Simplifying 3h2 + 8h + 4896 = 0 Reorder the terms: 4896 + 8h + 3h2 = 0 Solving 4896 + 8h + 3h2 = 0 Solving for variable 'h'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 1632 + 2.666666667h + h2 = 0 Move the constant term to the right: Add '-1632' to each side of the equation. 1632 + 2.666666667h + -1632 + h2 = 0 + -1632 Reorder the terms: 1632 + -1632 + 2.666666667h + h2 = 0 + -1632 Combine like terms: 1632 + -1632 = 0 0 + 2.666666667h + h2 = 0 + -1632 2.666666667h + h2 = 0 + -1632 Combine like terms: 0 + -1632 = -1632 2.666666667h + h2 = -1632 The h term is 2.666666667h. Take half its coefficient (1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. 2.666666667h + 1.777777780 + h2 = -1632 + 1.777777780 Reorder the terms: 1.777777780 + 2.666666667h + h2 = -1632 + 1.777777780 Combine like terms: -1632 + 1.777777780 = -1630.22222222 1.777777780 + 2.666666667h + h2 = -1630.22222222 Factor a perfect square on the left side: (h + 1.333333334)(h + 1.333333334) = -1630.22222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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