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Simplifying 2x(x + 1) + -1(x + -1) = 0 Reorder the terms: 2x(1 + x) + -1(x + -1) = 0 (1 * 2x + x * 2x) + -1(x + -1) = 0 (2x + 2x2) + -1(x + -1) = 0 Reorder the terms: 2x + 2x2 + -1(-1 + x) = 0 2x + 2x2 + (-1 * -1 + x * -1) = 0 2x + 2x2 + (1 + -1x) = 0 Reorder the terms: 1 + 2x + -1x + 2x2 = 0 Combine like terms: 2x + -1x = 1x 1 + 1x + 2x2 = 0 Solving 1 + 1x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 0.5 + 0.5x + x2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 0.5x + -0.5 + x2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 0.5x + x2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.5x + x2 = 0 + -0.5 0.5x + x2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 0.5x + x2 = -0.5 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x2 = -0.5 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -0.5 + 0.0625 Combine like terms: -0.5 + 0.0625 = -0.4375 0.0625 + 0.5x + x2 = -0.4375 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -0.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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