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Simplifying x2 + -4x + 42 = 0 Reorder the terms: 42 + -4x + x2 = 0 Solving 42 + -4x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-42' to each side of the equation. 42 + -4x + -42 + x2 = 0 + -42 Reorder the terms: 42 + -42 + -4x + x2 = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -4x + x2 = 0 + -42 -4x + x2 = 0 + -42 Combine like terms: 0 + -42 = -42 -4x + x2 = -42 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -42 + 4 Reorder the terms: 4 + -4x + x2 = -42 + 4 Combine like terms: -42 + 4 = -38 4 + -4x + x2 = -38 Factor a perfect square on the left side: (x + -2)(x + -2) = -38 Can't calculate square root of the right side. The solution to this equation could not be determined.
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