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Simplifying (4x2 + -3x + -1) + -1(-4x2 + -5x + -6) = 0 Reorder the terms: (-1 + -3x + 4x2) + -1(-4x2 + -5x + -6) = 0 Remove parenthesis around (-1 + -3x + 4x2) -1 + -3x + 4x2 + -1(-4x2 + -5x + -6) = 0 Reorder the terms: -1 + -3x + 4x2 + -1(-6 + -5x + -4x2) = 0 -1 + -3x + 4x2 + (-6 * -1 + -5x * -1 + -4x2 * -1) = 0 -1 + -3x + 4x2 + (6 + 5x + 4x2) = 0 Reorder the terms: -1 + 6 + -3x + 5x + 4x2 + 4x2 = 0 Combine like terms: -1 + 6 = 5 5 + -3x + 5x + 4x2 + 4x2 = 0 Combine like terms: -3x + 5x = 2x 5 + 2x + 4x2 + 4x2 = 0 Combine like terms: 4x2 + 4x2 = 8x2 5 + 2x + 8x2 = 0 Solving 5 + 2x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + 0.25x + x2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + 0.25x + -0.625 + x2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + 0.25x + x2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + 0.25x + x2 = 0 + -0.625 0.25x + x2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 0.25x + x2 = -0.625 The x term is 0.25x. Take half its coefficient (0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. 0.25x + 0.015625 + x2 = -0.625 + 0.015625 Reorder the terms: 0.015625 + 0.25x + x2 = -0.625 + 0.015625 Combine like terms: -0.625 + 0.015625 = -0.609375 0.015625 + 0.25x + x2 = -0.609375 Factor a perfect square on the left side: (x + 0.125)(x + 0.125) = -0.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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