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Simplifying x2 + 24x + 100 = -46 Reorder the terms: 100 + 24x + x2 = -46 Solving 100 + 24x + x2 = -46 Solving for variable 'x'. Reorder the terms: 100 + 46 + 24x + x2 = -46 + 46 Combine like terms: 100 + 46 = 146 146 + 24x + x2 = -46 + 46 Combine like terms: -46 + 46 = 0 146 + 24x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-146' to each side of the equation. 146 + 24x + -146 + x2 = 0 + -146 Reorder the terms: 146 + -146 + 24x + x2 = 0 + -146 Combine like terms: 146 + -146 = 0 0 + 24x + x2 = 0 + -146 24x + x2 = 0 + -146 Combine like terms: 0 + -146 = -146 24x + x2 = -146 The x term is 24x. Take half its coefficient (12). Square it (144) and add it to both sides. Add '144' to each side of the equation. 24x + 144 + x2 = -146 + 144 Reorder the terms: 144 + 24x + x2 = -146 + 144 Combine like terms: -146 + 144 = -2 144 + 24x + x2 = -2 Factor a perfect square on the left side: (x + 12)(x + 12) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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