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Simplifying x2 + 20x + 100 = -64 Reorder the terms: 100 + 20x + x2 = -64 Solving 100 + 20x + x2 = -64 Solving for variable 'x'. Reorder the terms: 100 + 64 + 20x + x2 = -64 + 64 Combine like terms: 100 + 64 = 164 164 + 20x + x2 = -64 + 64 Combine like terms: -64 + 64 = 0 164 + 20x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-164' to each side of the equation. 164 + 20x + -164 + x2 = 0 + -164 Reorder the terms: 164 + -164 + 20x + x2 = 0 + -164 Combine like terms: 164 + -164 = 0 0 + 20x + x2 = 0 + -164 20x + x2 = 0 + -164 Combine like terms: 0 + -164 = -164 20x + x2 = -164 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 = -164 + 100 Reorder the terms: 100 + 20x + x2 = -164 + 100 Combine like terms: -164 + 100 = -64 100 + 20x + x2 = -64 Factor a perfect square on the left side: (x + 10)(x + 10) = -64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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