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Simplifying (3x2 + 5x + 7) + -1(-4x2 + 3x + -6) = 0 Reorder the terms: (7 + 5x + 3x2) + -1(-4x2 + 3x + -6) = 0 Remove parenthesis around (7 + 5x + 3x2) 7 + 5x + 3x2 + -1(-4x2 + 3x + -6) = 0 Reorder the terms: 7 + 5x + 3x2 + -1(-6 + 3x + -4x2) = 0 7 + 5x + 3x2 + (-6 * -1 + 3x * -1 + -4x2 * -1) = 0 7 + 5x + 3x2 + (6 + -3x + 4x2) = 0 Reorder the terms: 7 + 6 + 5x + -3x + 3x2 + 4x2 = 0 Combine like terms: 7 + 6 = 13 13 + 5x + -3x + 3x2 + 4x2 = 0 Combine like terms: 5x + -3x = 2x 13 + 2x + 3x2 + 4x2 = 0 Combine like terms: 3x2 + 4x2 = 7x2 13 + 2x + 7x2 = 0 Solving 13 + 2x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.857142857 + 0.2857142857x + x2 = 0 Move the constant term to the right: Add '-1.857142857' to each side of the equation. 1.857142857 + 0.2857142857x + -1.857142857 + x2 = 0 + -1.857142857 Reorder the terms: 1.857142857 + -1.857142857 + 0.2857142857x + x2 = 0 + -1.857142857 Combine like terms: 1.857142857 + -1.857142857 = 0.000000000 0.000000000 + 0.2857142857x + x2 = 0 + -1.857142857 0.2857142857x + x2 = 0 + -1.857142857 Combine like terms: 0 + -1.857142857 = -1.857142857 0.2857142857x + x2 = -1.857142857 The x term is 0.2857142857x. Take half its coefficient (0.1428571429). Square it (0.02040816328) and add it to both sides. Add '0.02040816328' to each side of the equation. 0.2857142857x + 0.02040816328 + x2 = -1.857142857 + 0.02040816328 Reorder the terms: 0.02040816328 + 0.2857142857x + x2 = -1.857142857 + 0.02040816328 Combine like terms: -1.857142857 + 0.02040816328 = -1.83673469372 0.02040816328 + 0.2857142857x + x2 = -1.83673469372 Factor a perfect square on the left side: (x + 0.1428571429)(x + 0.1428571429) = -1.83673469372 Can't calculate square root of the right side. The solution to this equation could not be determined.
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