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Simplifying 4x(5 + 7x) + 9 = 0 (5 * 4x + 7x * 4x) + 9 = 0 (20x + 28x2) + 9 = 0 Reorder the terms: 9 + 20x + 28x2 = 0 Solving 9 + 20x + 28x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 28 the coefficient of the squared term: Divide each side by '28'. 0.3214285714 + 0.7142857143x + x2 = 0 Move the constant term to the right: Add '-0.3214285714' to each side of the equation. 0.3214285714 + 0.7142857143x + -0.3214285714 + x2 = 0 + -0.3214285714 Reorder the terms: 0.3214285714 + -0.3214285714 + 0.7142857143x + x2 = 0 + -0.3214285714 Combine like terms: 0.3214285714 + -0.3214285714 = 0.0000000000 0.0000000000 + 0.7142857143x + x2 = 0 + -0.3214285714 0.7142857143x + x2 = 0 + -0.3214285714 Combine like terms: 0 + -0.3214285714 = -0.3214285714 0.7142857143x + x2 = -0.3214285714 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 = -0.3214285714 + 0.1275510204 Reorder the terms: 0.1275510204 + 0.7142857143x + x2 = -0.3214285714 + 0.1275510204 Combine like terms: -0.3214285714 + 0.1275510204 = -0.193877551 0.1275510204 + 0.7142857143x + x2 = -0.193877551 Factor a perfect square on the left side: (x + 0.3571428572)(x + 0.3571428572) = -0.193877551 Can't calculate square root of the right side. The solution to this equation could not be determined.
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