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Simplifying 9x2 + 12x + 14 = 0 Reorder the terms: 14 + 12x + 9x2 = 0 Solving 14 + 12x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.555555556 + 1.333333333x + x2 = 0 Move the constant term to the right: Add '-1.555555556' to each side of the equation. 1.555555556 + 1.333333333x + -1.555555556 + x2 = 0 + -1.555555556 Reorder the terms: 1.555555556 + -1.555555556 + 1.333333333x + x2 = 0 + -1.555555556 Combine like terms: 1.555555556 + -1.555555556 = 0.000000000 0.000000000 + 1.333333333x + x2 = 0 + -1.555555556 1.333333333x + x2 = 0 + -1.555555556 Combine like terms: 0 + -1.555555556 = -1.555555556 1.333333333x + x2 = -1.555555556 The x term is 1.333333333x. Take half its coefficient (0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. 1.333333333x + 0.4444444442 + x2 = -1.555555556 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333x + x2 = -1.555555556 + 0.4444444442 Combine like terms: -1.555555556 + 0.4444444442 = -1.1111111118 0.4444444442 + 1.333333333x + x2 = -1.1111111118 Factor a perfect square on the left side: (x + 0.6666666665)(x + 0.6666666665) = -1.1111111118 Can't calculate square root of the right side. The solution to this equation could not be determined.
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