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Simplifying 2h2 + 3 = 4h Reorder the terms: 3 + 2h2 = 4h Solving 3 + 2h2 = 4h Solving for variable 'h'. Reorder the terms: 3 + -4h + 2h2 = 4h + -4h Combine like terms: 4h + -4h = 0 3 + -4h + 2h2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1.5 + -2h + h2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -2h + -1.5 + h2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -2h + h2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -2h + h2 = 0 + -1.5 -2h + h2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -2h + h2 = -1.5 The h term is -2h. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2h + 1 + h2 = -1.5 + 1 Reorder the terms: 1 + -2h + h2 = -1.5 + 1 Combine like terms: -1.5 + 1 = -0.5 1 + -2h + h2 = -0.5 Factor a perfect square on the left side: (h + -1)(h + -1) = -0.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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