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Simplifying 7x2 + 12x + 9 = 0 Reorder the terms: 9 + 12x + 7x2 = 0 Solving 9 + 12x + 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'. 1.285714286 + 1.714285714x + x2 = 0 Move the constant term to the right: Add '-1.285714286' to each side of the equation. 1.285714286 + 1.714285714x + -1.285714286 + x2 = 0 + -1.285714286 Reorder the terms: 1.285714286 + -1.285714286 + 1.714285714x + x2 = 0 + -1.285714286 Combine like terms: 1.285714286 + -1.285714286 = 0.000000000 0.000000000 + 1.714285714x + x2 = 0 + -1.285714286 1.714285714x + x2 = 0 + -1.285714286 Combine like terms: 0 + -1.285714286 = -1.285714286 1.714285714x + x2 = -1.285714286 The x term is 1.714285714x. Take half its coefficient (0.857142857). Square it (0.7346938773) and add it to both sides. Add '0.7346938773' to each side of the equation. 1.714285714x + 0.7346938773 + x2 = -1.285714286 + 0.7346938773 Reorder the terms: 0.7346938773 + 1.714285714x + x2 = -1.285714286 + 0.7346938773 Combine like terms: -1.285714286 + 0.7346938773 = -0.5510204087 0.7346938773 + 1.714285714x + x2 = -0.5510204087 Factor a perfect square on the left side: (x + 0.857142857)(x + 0.857142857) = -0.5510204087 Can't calculate square root of the right side. The solution to this equation could not be determined.
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