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Simplifying 4 + x(7x + 5) = 0 Reorder the terms: 4 + x(5 + 7x) = 0 4 + (5 * x + 7x * x) = 0 4 + (5x + 7x2) = 0 Solving 4 + 5x + 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'. 0.5714285714 + 0.7142857143x + x2 = 0 Move the constant term to the right: Add '-0.5714285714' to each side of the equation. 0.5714285714 + 0.7142857143x + -0.5714285714 + x2 = 0 + -0.5714285714 Reorder the terms: 0.5714285714 + -0.5714285714 + 0.7142857143x + x2 = 0 + -0.5714285714 Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000 0.0000000000 + 0.7142857143x + x2 = 0 + -0.5714285714 0.7142857143x + x2 = 0 + -0.5714285714 Combine like terms: 0 + -0.5714285714 = -0.5714285714 0.7142857143x + x2 = -0.5714285714 The x term is 0.7142857143x. Take half its coefficient (0.3571428572). Square it (0.1275510204) and add it to both sides. Add '0.1275510204' to each side of the equation. 0.7142857143x + 0.1275510204 + x2 = -0.5714285714 + 0.1275510204 Reorder the terms: 0.1275510204 + 0.7142857143x + x2 = -0.5714285714 + 0.1275510204 Combine like terms: -0.5714285714 + 0.1275510204 = -0.443877551 0.1275510204 + 0.7142857143x + x2 = -0.443877551 Factor a perfect square on the left side: (x + 0.3571428572)(x + 0.3571428572) = -0.443877551 Can't calculate square root of the right side. The solution to this equation could not be determined.
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