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Simplifying h2 + 10h + 25 = -7 Reorder the terms: 25 + 10h + h2 = -7 Solving 25 + 10h + h2 = -7 Solving for variable 'h'. Reorder the terms: 25 + 7 + 10h + h2 = -7 + 7 Combine like terms: 25 + 7 = 32 32 + 10h + h2 = -7 + 7 Combine like terms: -7 + 7 = 0 32 + 10h + h2 = 0 Begin completing the square. Move the constant term to the right: Add '-32' to each side of the equation. 32 + 10h + -32 + h2 = 0 + -32 Reorder the terms: 32 + -32 + 10h + h2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 10h + h2 = 0 + -32 10h + h2 = 0 + -32 Combine like terms: 0 + -32 = -32 10h + h2 = -32 The h term is 10h. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10h + 25 + h2 = -32 + 25 Reorder the terms: 25 + 10h + h2 = -32 + 25 Combine like terms: -32 + 25 = -7 25 + 10h + h2 = -7 Factor a perfect square on the left side: (h + 5)(h + 5) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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