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Simplifying x2 + 20x + 100 = -7 Reorder the terms: 100 + 20x + x2 = -7 Solving 100 + 20x + x2 = -7 Solving for variable 'x'. Reorder the terms: 100 + 7 + 20x + x2 = -7 + 7 Combine like terms: 100 + 7 = 107 107 + 20x + x2 = -7 + 7 Combine like terms: -7 + 7 = 0 107 + 20x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-107' to each side of the equation. 107 + 20x + -107 + x2 = 0 + -107 Reorder the terms: 107 + -107 + 20x + x2 = 0 + -107 Combine like terms: 107 + -107 = 0 0 + 20x + x2 = 0 + -107 20x + x2 = 0 + -107 Combine like terms: 0 + -107 = -107 20x + x2 = -107 The x term is 20x. Take half its coefficient (10). Square it (100) and add it to both sides. Add '100' to each side of the equation. 20x + 100 + x2 = -107 + 100 Reorder the terms: 100 + 20x + x2 = -107 + 100 Combine like terms: -107 + 100 = -7 100 + 20x + x2 = -7 Factor a perfect square on the left side: (x + 10)(x + 10) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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