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Simplifying (x * x) + 196 = 2x + -27 Multiply x * x (x2) + 196 = 2x + -27 x2 + 196 = 2x + -27 Reorder the terms: 196 + x2 = 2x + -27 Reorder the terms: 196 + x2 = -27 + 2x Solving 196 + x2 = -27 + 2x Solving for variable 'x'. Reorder the terms: 196 + 27 + -2x + x2 = -27 + 2x + 27 + -2x Combine like terms: 196 + 27 = 223 223 + -2x + x2 = -27 + 2x + 27 + -2x Reorder the terms: 223 + -2x + x2 = -27 + 27 + 2x + -2x Combine like terms: -27 + 27 = 0 223 + -2x + x2 = 0 + 2x + -2x 223 + -2x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 223 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-223' to each side of the equation. 223 + -2x + -223 + x2 = 0 + -223 Reorder the terms: 223 + -223 + -2x + x2 = 0 + -223 Combine like terms: 223 + -223 = 0 0 + -2x + x2 = 0 + -223 -2x + x2 = 0 + -223 Combine like terms: 0 + -223 = -223 -2x + x2 = -223 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -223 + 1 Reorder the terms: 1 + -2x + x2 = -223 + 1 Combine like terms: -223 + 1 = -222 1 + -2x + x2 = -222 Factor a perfect square on the left side: (x + -1)(x + -1) = -222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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