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Simplifying 7x2 + 3x + 9 = 0 Reorder the terms: 9 + 3x + 7x2 = 0 Solving 9 + 3x + 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 + 0.4285714286x + x2 = 0 Move the constant term to the right: Add '-1.285714286' to each side of the equation. 1.285714286 + 0.4285714286x + -1.285714286 + x2 = 0 + -1.285714286 Reorder the terms: 1.285714286 + -1.285714286 + 0.4285714286x + x2 = 0 + -1.285714286 Combine like terms: 1.285714286 + -1.285714286 = 0.000000000 0.000000000 + 0.4285714286x + x2 = 0 + -1.285714286 0.4285714286x + x2 = 0 + -1.285714286 Combine like terms: 0 + -1.285714286 = -1.285714286 0.4285714286x + x2 = -1.285714286 The x term is 0.4285714286x. Take half its coefficient (0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. 0.4285714286x + 0.04591836735 + x2 = -1.285714286 + 0.04591836735 Reorder the terms: 0.04591836735 + 0.4285714286x + x2 = -1.285714286 + 0.04591836735 Combine like terms: -1.285714286 + 0.04591836735 = -1.23979591865 0.04591836735 + 0.4285714286x + x2 = -1.23979591865 Factor a perfect square on the left side: (x + 0.2142857143)(x + 0.2142857143) = -1.23979591865 Can't calculate square root of the right side. The solution to this equation could not be determined.
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