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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 = 42 42 + 2X + -11X + X2 = 7 + 11X + -7 + -11X Combine like terms: 2X + -11X = -9X 42 + -9X + X2 = 7 + 11X + -7 + -11X Reorder the terms: 42 + -9X + X2 = 7 + -7 + 11X + -11X Combine like terms: 7 + -7 = 0 42 + -9X + X2 = 0 + 11X + -11X 42 + -9X + X2 = 11X + -11X Combine like terms: 11X + -11X = 0 42 + -9X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-42' to each side of the equation. 42 + -9X + -42 + X2 = 0 + -42 Reorder the terms: 42 + -42 + -9X + X2 = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -9X + X2 = 0 + -42 -9X + X2 = 0 + -42 Combine like terms: 0 + -42 = -42 -9X + X2 = -42 The X term is -9X. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9X + 20.25 + X2 = -42 + 20.25 Reorder the terms: 20.25 + -9X + X2 = -42 + 20.25 Combine like terms: -42 + 20.25 = -21.75 20.25 + -9X + X2 = -21.75 Factor a perfect square on the left side: (X + -4.5)(X + -4.5) = -21.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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