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Simplifying x2 + 10x + 100 = 36 Reorder the terms: 100 + 10x + x2 = 36 Solving 100 + 10x + x2 = 36 Solving for variable 'x'. Reorder the terms: 100 + -36 + 10x + x2 = 36 + -36 Combine like terms: 100 + -36 = 64 64 + 10x + x2 = 36 + -36 Combine like terms: 36 + -36 = 0 64 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-64' to each side of the equation. 64 + 10x + -64 + x2 = 0 + -64 Reorder the terms: 64 + -64 + 10x + x2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 10x + x2 = 0 + -64 10x + x2 = 0 + -64 Combine like terms: 0 + -64 = -64 10x + x2 = -64 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = -64 + 25 Reorder the terms: 25 + 10x + x2 = -64 + 25 Combine like terms: -64 + 25 = -39 25 + 10x + x2 = -39 Factor a perfect square on the left side: (x + 5)(x + 5) = -39 Can't calculate square root of the right side. The solution to this equation could not be determined.
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