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Simplifying 103 = x(2 + -1x) 103 = (2 * x + -1x * x) 103 = (2x + -1x2) Solving 103 = 2x + -1x2 Solving for variable 'x'. Reorder the terms: 103 + -2x + x2 = 2x + -2x + -1x2 + x2 Combine like terms: 2x + -2x = 0 103 + -2x + x2 = 0 + -1x2 + x2 103 + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 103 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-103' to each side of the equation. 103 + -2x + -103 + x2 = 0 + -103 Reorder the terms: 103 + -103 + -2x + x2 = 0 + -103 Combine like terms: 103 + -103 = 0 0 + -2x + x2 = 0 + -103 -2x + x2 = 0 + -103 Combine like terms: 0 + -103 = -103 -2x + x2 = -103 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 = -103 + 1 Reorder the terms: 1 + -2x + x2 = -103 + 1 Combine like terms: -103 + 1 = -102 1 + -2x + x2 = -102 Factor a perfect square on the left side: (x + -1)(x + -1) = -102 Can't calculate square root of the right side. The solution to this equation could not be determined.
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