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Simplifying x2 + 49 = 11x + 7 Reorder the terms: 49 + x2 = 11x + 7 Reorder the terms: 49 + x2 = 7 + 11x Solving 49 + x2 = 7 + 11x Solving for variable 'x'. Reorder the terms: 49 + -7 + -11x + x2 = 7 + 11x + -7 + -11x Combine like terms: 49 + -7 = 42 42 + -11x + x2 = 7 + 11x + -7 + -11x Reorder the terms: 42 + -11x + x2 = 7 + -7 + 11x + -11x Combine like terms: 7 + -7 = 0 42 + -11x + x2 = 0 + 11x + -11x 42 + -11x + x2 = 11x + -11x Combine like terms: 11x + -11x = 0 42 + -11x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-42' to each side of the equation. 42 + -11x + -42 + x2 = 0 + -42 Reorder the terms: 42 + -42 + -11x + x2 = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -11x + x2 = 0 + -42 -11x + x2 = 0 + -42 Combine like terms: 0 + -42 = -42 -11x + x2 = -42 The x term is -11x. Take half its coefficient (-5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. -11x + 30.25 + x2 = -42 + 30.25 Reorder the terms: 30.25 + -11x + x2 = -42 + 30.25 Combine like terms: -42 + 30.25 = -11.75 30.25 + -11x + x2 = -11.75 Factor a perfect square on the left side: (x + -5.5)(x + -5.5) = -11.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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