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Simplifying h2 + 14 = 3h Reorder the terms: 14 + h2 = 3h Solving 14 + h2 = 3h Solving for variable 'h'. Reorder the terms: 14 + -3h + h2 = 3h + -3h Combine like terms: 3h + -3h = 0 14 + -3h + h2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + -3h + -14 + h2 = 0 + -14 Reorder the terms: 14 + -14 + -3h + h2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3h + h2 = 0 + -14 -3h + h2 = 0 + -14 Combine like terms: 0 + -14 = -14 -3h + h2 = -14 The h term is -3h. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3h + 2.25 + h2 = -14 + 2.25 Reorder the terms: 2.25 + -3h + h2 = -14 + 2.25 Combine like terms: -14 + 2.25 = -11.75 2.25 + -3h + h2 = -11.75 Factor a perfect square on the left side: (h + -1.5)(h + -1.5) = -11.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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