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Simplifying x(x + 1) = -3 Reorder the terms: x(1 + x) = -3 (1 * x + x * x) = -3 (1x + x2) = -3 Solving 1x + x2 = -3 Solving for variable 'x'. Reorder the terms: 3 + 1x + x2 = -3 + 3 Combine like terms: -3 + 3 = 0 3 + 1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + 1x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + 1x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1x + x2 = 0 + -3 1x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 1x + x2 = -3 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 = -3 + 0.25 Reorder the terms: 0.25 + x + x2 = -3 + 0.25 Combine like terms: -3 + 0.25 = -2.75 0.25 + x + x2 = -2.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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