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Simplifying 9x2 + -12x + 40 = 0 Reorder the terms: 40 + -12x + 9x2 = 0 Solving 40 + -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'. 4.444444444 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '-4.444444444' to each side of the equation. 4.444444444 + -1.333333333x + -4.444444444 + x2 = 0 + -4.444444444 Reorder the terms: 4.444444444 + -4.444444444 + -1.333333333x + x2 = 0 + -4.444444444 Combine like terms: 4.444444444 + -4.444444444 = 0.000000000 0.000000000 + -1.333333333x + x2 = 0 + -4.444444444 -1.333333333x + x2 = 0 + -4.444444444 Combine like terms: 0 + -4.444444444 = -4.444444444 -1.333333333x + x2 = -4.444444444 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 = -4.444444444 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = -4.444444444 + 0.4444444442 Combine like terms: -4.444444444 + 0.4444444442 = -3.9999999998 0.4444444442 + -1.333333333x + x2 = -3.9999999998 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = -3.9999999998 Can't calculate square root of the right side. The solution to this equation could not be determined.
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