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Simplifying x2 + 10x + 49 = 12 Reorder the terms: 49 + 10x + x2 = 12 Solving 49 + 10x + x2 = 12 Solving for variable 'x'. Reorder the terms: 49 + -12 + 10x + x2 = 12 + -12 Combine like terms: 49 + -12 = 37 37 + 10x + x2 = 12 + -12 Combine like terms: 12 + -12 = 0 37 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-37' to each side of the equation. 37 + 10x + -37 + x2 = 0 + -37 Reorder the terms: 37 + -37 + 10x + x2 = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 10x + x2 = 0 + -37 10x + x2 = 0 + -37 Combine like terms: 0 + -37 = -37 10x + x2 = -37 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 = -37 + 25 Reorder the terms: 25 + 10x + x2 = -37 + 25 Combine like terms: -37 + 25 = -12 25 + 10x + x2 = -12 Factor a perfect square on the left side: (x + 5)(x + 5) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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