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Simplifying (5x + 7) + -1(7x2 + 3x + 9) = 0 Reorder the terms: (7 + 5x) + -1(7x2 + 3x + 9) = 0 Remove parenthesis around (7 + 5x) 7 + 5x + -1(7x2 + 3x + 9) = 0 Reorder the terms: 7 + 5x + -1(9 + 3x + 7x2) = 0 7 + 5x + (9 * -1 + 3x * -1 + 7x2 * -1) = 0 7 + 5x + (-9 + -3x + -7x2) = 0 Reorder the terms: 7 + -9 + 5x + -3x + -7x2 = 0 Combine like terms: 7 + -9 = -2 -2 + 5x + -3x + -7x2 = 0 Combine like terms: 5x + -3x = 2x -2 + 2x + -7x2 = 0 Solving -2 + 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'. 0.2857142857 + -0.2857142857x + x2 = 0 Move the constant term to the right: Add '-0.2857142857' to each side of the equation. 0.2857142857 + -0.2857142857x + -0.2857142857 + x2 = 0 + -0.2857142857 Reorder the terms: 0.2857142857 + -0.2857142857 + -0.2857142857x + x2 = 0 + -0.2857142857 Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000 0.0000000000 + -0.2857142857x + x2 = 0 + -0.2857142857 -0.2857142857x + x2 = 0 + -0.2857142857 Combine like terms: 0 + -0.2857142857 = -0.2857142857 -0.2857142857x + x2 = -0.2857142857 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 = -0.2857142857 + 0.02040816328 Reorder the terms: 0.02040816328 + -0.2857142857x + x2 = -0.2857142857 + 0.02040816328 Combine like terms: -0.2857142857 + 0.02040816328 = -0.26530612242 0.02040816328 + -0.2857142857x + x2 = -0.26530612242 Factor a perfect square on the left side: (x + -0.1428571429)(x + -0.1428571429) = -0.26530612242 Can't calculate square root of the right side. The solution to this equation could not be determined.
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