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Simplifying x(x + 1) + 4 = 3 Reorder the terms: x(1 + x) + 4 = 3 (1 * x + x * x) + 4 = 3 (1x + x2) + 4 = 3 Reorder the terms: 4 + 1x + x2 = 3 Solving 4 + 1x + x2 = 3 Solving for variable 'x'. Reorder the terms: 4 + -3 + 1x + x2 = 3 + -3 Combine like terms: 4 + -3 = 1 1 + 1x + x2 = 3 + -3 Combine like terms: 3 + -3 = 0 1 + 1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 1x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1x + x2 = 0 + -1 1x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 1x + x2 = -1 The x term is 1x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -1 + 0.25 Reorder the terms: 0.25 + x + x2 = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 0.25 + x + x2 = -0.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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