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Simplifying x2 + -2x + 49 = 11x + -7 Reorder the terms: 49 + -2x + x2 = 11x + -7 Reorder the terms: 49 + -2x + x2 = -7 + 11x Solving 49 + -2x + x2 = -7 + 11x Solving for variable 'x'. Reorder the terms: 49 + 7 + -2x + -11x + x2 = -7 + 11x + 7 + -11x Combine like terms: 49 + 7 = 56 56 + -2x + -11x + x2 = -7 + 11x + 7 + -11x Combine like terms: -2x + -11x = -13x 56 + -13x + x2 = -7 + 11x + 7 + -11x Reorder the terms: 56 + -13x + x2 = -7 + 7 + 11x + -11x Combine like terms: -7 + 7 = 0 56 + -13x + x2 = 0 + 11x + -11x 56 + -13x + x2 = 11x + -11x Combine like terms: 11x + -11x = 0 56 + -13x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-56' to each side of the equation. 56 + -13x + -56 + x2 = 0 + -56 Reorder the terms: 56 + -56 + -13x + x2 = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -13x + x2 = 0 + -56 -13x + x2 = 0 + -56 Combine like terms: 0 + -56 = -56 -13x + x2 = -56 The x term is -13x. Take half its coefficient (-6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. -13x + 42.25 + x2 = -56 + 42.25 Reorder the terms: 42.25 + -13x + x2 = -56 + 42.25 Combine like terms: -56 + 42.25 = -13.75 42.25 + -13x + x2 = -13.75 Factor a perfect square on the left side: (x + -6.5)(x + -6.5) = -13.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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